72529500 has 48 divisors (see below), whose sum is σ = 211210272. Its totient is φ = 19340800.

The previous prime is 72529489. The next prime is 72529559. The reversal of 72529500 is 592527.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22677 + ... + 25676.

It is an arithmetic number, because the mean of its divisors is an integer number (4400214).

Almost surely, 2^72529500 is an apocalyptic number.

It is an amenable number.

72529500 is an abundant number, since it is smaller than the sum of its proper divisors (138680772).

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

72529500 is a wasteful number, since it uses less digits than its factorization.

72529500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48375 (or 48363 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 72529500 is about 8516.4253064299. The cubic root of 72529500 is about 417.0340936763.

The spelling of 72529500 in words is "seventy-two million, five hundred twenty-nine thousand, five hundred".