73724 has 12 divisors (see below), whose sum is σ = 147504. Its totient is φ = 31584.

The previous prime is 73721. The next prime is 73727. The reversal of 73724 is 42737.

73724 = T₃₇ + T₃₈ + ... + T₇₈.

It is an interprime number because it is at equal distance from previous prime (73721) and next prime (73727).

73724 is an admirable number.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 73724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73721) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1289 + ... + 1344.

It is an arithmetic number, because the mean of its divisors is an integer number (12292).

2⁷³⁷²⁴ is an apocalyptic number.

It is an amenable number.

73724 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73752).

73724 is a wasteful number, since it uses less digits than its factorization.

73724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644 (or 2642 counting only the distinct ones).

The product of its digits is 1176, while the sum is 23.

The square root of 73724 is about 271.5216381801. The cubic root of 73724 is about 41.9311039773.

It can be divided in two parts, 73 and 724, that added together give a palindrome (797).

The spelling of 73724 in words is "seventy-three thousand, seven hundred twenty-four", and thus it is an iban number.