72835752 has 64 divisors (see below), whose sum is σ = 210340800. Its totient is φ = 20771840.

The previous prime is 72835747. The next prime is 72835753. The reversal of 72835752 is 25753827.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 72835752.

It is not an unprimeable number, because it can be changed into a prime (72835753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3627 + ... + 12602.

It is an arithmetic number, because the mean of its divisors is an integer number (3286575).

Almost surely, 2^72835752 is an apocalyptic number.

It is an amenable number.

72835752 is an abundant number, since it is smaller than the sum of its proper divisors (137505048).

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

72835752 is a wasteful number, since it uses less digits than its factorization.

72835752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16266 (or 16262 counting only the distinct ones).

The product of its digits is 117600, while the sum is 39.

The square root of 72835752 is about 8534.3864454336. The cubic root of 72835752 is about 417.6202376387.

The spelling of 72835752 in words is "seventy-two million, eight hundred thirty-five thousand, seven hundred fifty-two".