73416 has 64 divisors (see below), whose sum is σ = 230400. Its totient is φ = 19008.

The previous prime is 73387. The next prime is 73417. The reversal of 73416 is 61437.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a junction number, because it is equal to n+sod(n) for n = 73392 and 73401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73417) by changing a digit.

73416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3181 + ... + 3203.

It is an arithmetic number, because the mean of its divisors is an integer number (3600).

2⁷³⁴¹⁶ is an apocalyptic number.

73416 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115200).

73416 is an abundant number, since it is smaller than the sum of its proper divisors (156984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73416 is a wasteful number, since it uses less digits than its factorization.

73416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 54 counting only the distinct ones).

The product of its digits is 504, while the sum is 21.

The square root of 73416 is about 270.9538706127. The cubic root of 73416 is about 41.8726299988.

Adding to 73416 its sum of digits (21), we get a palindrome (73437).

Adding to 73416 its product of digits (504), we get a triangular number (73920 = T₃₈₄).

The spelling of 73416 in words is "seventy-three thousand, four hundred sixteen".