72457862400 has 1944 divisors, whose sum is σ = 353361258432. Its totient is φ = 13713408000.

The previous prime is 72457862341. The next prime is 72457862419. The reversal of 72457862400 is 426875427.

It is a happy number.

72457862400 is a `hidden beast` number, since 72 + 4 + 578 + 6 + 2 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 215 ways as a sum of consecutive naturals, for example, 2337350385 + ... + 2337350415.

Almost surely, 2^72457862400 is an apocalyptic number.

72457862400 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 72457862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176680629216).

72457862400 is an abundant number, since it is smaller than the sum of its proper divisors (280903396032).

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

72457862400 is a wasteful number, since it uses less digits than its factorization.

72457862400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 72457862400 in words is "seventy-two billion, four hundred fifty-seven million, eight hundred sixty-two thousand, four hundred".