72900352 has 72 divisors (see below), whose sum is σ = 176160096. Its totient is φ = 29392896.

The previous prime is 72900349. The next prime is 72900353. The reversal of 72900352 is 25300927.

It is a super-2 number, since 2×72900352² = 10628922643447808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 72900352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72900353) 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, 29268 + ... + 31660.

It is an arithmetic number, because the mean of its divisors is an integer number (2446668).

Almost surely, 2^72900352 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 72900352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88080048).

72900352 is an abundant number, since it is smaller than the sum of its proper divisors (103259744).

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

72900352 is a wasteful number, since it uses less digits than its factorization.

72900352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2433 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 72900352 is about 8538.1702957952. The cubic root of 72900352 is about 417.7436673859.

The spelling of 72900352 in words is "seventy-two million, nine hundred thousand, three hundred fifty-two".