72521539200 has 1152 divisors, whose sum is σ = 303658243200. Its totient is φ = 16301260800.

The previous prime is 72521539157. The next prime is 72521539213. The reversal of 72521539200 is 293512527.

72521539200 is a `hidden beast` number, since 7 + 252 + 15 + 392 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 269596666 + ... + 269596934.

It is an arithmetic number, because the mean of its divisors is an integer number (263592225).

Almost surely, 2^72521539200 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 72521539200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151829121600).

72521539200 is an abundant number, since it is smaller than the sum of its proper divisors (231136704000).

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

72521539200 is a wasteful number, since it uses less digits than its factorization.

72521539200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 72521539200 in words is "seventy-two billion, five hundred twenty-one million, five hundred thirty-nine thousand, two hundred".