72753616 has 40 divisors (see below), whose sum is σ = 152505864. Its totient is φ = 33423360.

The previous prime is 72753613. The next prime is 72753617. The reversal of 72753616 is 61635727.

It can be written as a sum of positive squares in 4 ways, for example, as 8433216 + 64320400 = 2904^2 + 8020^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72753613) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52776 + ... + 54136.

Almost surely, 2^72753616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72753616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76252932).

72753616 is an abundant number, since it is smaller than the sum of its proper divisors (79752248).

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

72753616 is a wasteful number, since it uses less digits than its factorization.

72753616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1633 counting only the distinct ones).

The product of its digits is 52920, while the sum is 37.

The square root of 72753616 is about 8529.5730256561. The cubic root of 72753616 is about 417.4631968228.

The spelling of 72753616 in words is "seventy-two million, seven hundred fifty-three thousand, six hundred sixteen".