73152 has 42 divisors (see below), whose sum is σ = 211328. Its totient is φ = 24192.

The previous prime is 73141. The next prime is 73181. The reversal of 73152 is 25137.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 513 + ... + 639.

2⁷³¹⁵² is an apocalyptic number.

73152 is a gapful number since it is divisible by the number (72) 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 73152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105664).

73152 is an abundant number, since it is smaller than the sum of its proper divisors (138176).

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

73152 is a wasteful number, since it uses less digits than its factorization.

73152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 132 counting only the distinct ones).

The product of its digits is 210, while the sum is 18.

The square root of 73152 is about 270.4662640700. The cubic root of 73152 is about 41.8223791399.

Adding to 73152 its reverse (25137), we get a palindrome (98289).

It can be divided in two parts, 73 and 152, that added together give a square (225 = 15²).

The spelling of 73152 in words is "seventy-three thousand, one hundred fifty-two".