72865094400 has 864 divisors, whose sum is σ = 310838438400. Its totient is φ = 16356556800.

The previous prime is 72865094399. The next prime is 72865094413. The reversal of 72865094400 is 449056827.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×72865094400² (a number of 23 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 71365890 + ... + 71366910.

Almost surely, 2^72865094400 is an apocalyptic number.

72865094400 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 72865094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155419219200).

72865094400 is an abundant number, since it is smaller than the sum of its proper divisors (237973344000).

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

72865094400 is a wasteful number, since it uses less digits than its factorization.

72865094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 72865094400 in words is "seventy-two billion, eight hundred sixty-five million, ninety-four thousand, four hundred".