72568742400 has 1680 divisors, whose sum is σ = 339413329728. Its totient is φ = 14929920000.

The previous prime is 72568742359. The next prime is 72568742437. The reversal of 72568742400 is 424786527.

It is a happy number.

72568742400 is a `hidden beast` number, since 7 + 2 + 568 + 7 + 42 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 718502350 + ... + 718502450.

Almost surely, 2^72568742400 is an apocalyptic number.

72568742400 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 72568742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169706664864).

72568742400 is an abundant number, since it is smaller than the sum of its proper divisors (266844587328).

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

72568742400 is a wasteful number, since it uses less digits than its factorization.

72568742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 129 counting only the distinct ones).

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

The spelling of 72568742400 in words is "seventy-two billion, five hundred sixty-eight million, seven hundred forty-two thousand, four hundred".