72454764524100 has 288 divisors, whose sum is σ = 242251479079680. Its totient is φ = 16376963235840.

The previous prime is 72454764524081. The next prime is 72454764524159. The reversal of 72454764524100 is 142546745427.

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 95 ways as a sum of consecutive naturals, for example, 250202592 + ... + 250492008.

Almost surely, 2^{72454764524100} is an apocalyptic number.

72454764524100 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 72454764524100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121125739539840).

72454764524100 is an abundant number, since it is smaller than the sum of its proper divisors (169796714555580).

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

72454764524100 is a wasteful number, since it uses less digits than its factorization.

72454764524100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290767 (or 290760 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 51.

The spelling of 72454764524100 in words is "seventy-two trillion, four hundred fifty-four billion, seven hundred sixty-four million, five hundred twenty-four thousand, one hundred".