72504636825600 has 1008 divisors, whose sum is σ = 314274136426848. Its totient is φ = 15597588971520.

The previous prime is 72504636825563. The next prime is 72504636825653. The reversal of 72504636825600 is 652863640527.

72504636825600 is a `hidden beast` number, since 7 + 2 + 5 + 0 + 4 + 6 + 3 + 6 + 8 + 25 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×72504636825600² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 219175522 + ... + 219506078.

Almost surely, 2^{72504636825600} is an apocalyptic number.

72504636825600 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 72504636825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157137068213424).

72504636825600 is an abundant number, since it is smaller than the sum of its proper divisors (241769499601248).

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

72504636825600 is a wasteful number, since it uses less digits than its factorization.

72504636825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330623 (or 330591 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 72504636825600 in words is "seventy-two trillion, five hundred four billion, six hundred thirty-six million, eight hundred twenty-five thousand, six hundred".