72528818400 has 108 divisors (see below), whose sum is σ = 255754771272. Its totient is φ = 19341016320.

The previous prime is 72528818387. The next prime is 72528818407. The reversal of 72528818400 is 481882527.

It is a happy number.

72528818400 is a `hidden beast` number, since 7 + 2 + 528 + 81 + 8 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72528818407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5029524 + ... + 5043923.

It is an arithmetic number, because the mean of its divisors is an integer number (2368099734).

Almost surely, 2^72528818400 is an apocalyptic number.

It is an amenable number.

72528818400 is an abundant number, since it is smaller than the sum of its proper divisors (183225952872).

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

72528818400 is a wasteful number, since it uses less digits than its factorization.

72528818400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10073473 (or 10073457 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 72528818400 in words is "seventy-two billion, five hundred twenty-eight million, eight hundred eighteen thousand, four hundred".