72524390400 has 1512 divisors, whose sum is σ = 334184496984. Its totient is φ = 14863564800.

The previous prime is 72524390339. The next prime is 72524390447. The reversal of 72524390400 is 409342527.

72524390400 = 225³ + 226³ + ... + 735³.

72524390400 is a `hidden beast` number, since 7 + 2 + 5 + 243 + 9 + 0 + 400 = 666.

It is a super-2 number, since 2×72524390400² (a number of 23 digits) contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 993484764 + ... + 993484836.

Almost surely, 2^72524390400 is an apocalyptic number.

72524390400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72524390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167092248492).

72524390400 is an abundant number, since it is smaller than the sum of its proper divisors (261660106584).

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

72524390400 is a wasteful number, since it uses less digits than its factorization.

72524390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 72524390400 in words is "seventy-two billion, five hundred twenty-four million, three hundred ninety thousand, four hundred".