72507528400 has 60 divisors (see below), whose sum is σ = 180206239500. Its totient is φ = 28002903040.

The previous prime is 72507528367. The next prime is 72507528403. The reversal of 72507528400 is 482570527.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7782062656 + 64725465744 = 88216^2 + 254412^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72507528403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3113725 + ... + 3136924.

It is an arithmetic number, because the mean of its divisors is an integer number (3003437325).

Almost surely, 2^72507528400 is an apocalyptic number.

It is an amenable number.

72507528400 is an abundant number, since it is smaller than the sum of its proper divisors (107698711100).

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

72507528400 is a wasteful number, since it uses less digits than its factorization.

72507528400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6250696 (or 6250685 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 40.

The spelling of 72507528400 in words is "seventy-two billion, five hundred seven million, five hundred twenty-eight thousand, four hundred".