72995613600 has 1152 divisors, whose sum is σ = 314979840000. Its totient is φ = 14550036480.

The previous prime is 72995613569. The next prime is 72995613629. The reversal of 72995613600 is 631659927.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 72995613600.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 203330221 + ... + 203330579.

It is an arithmetic number, because the mean of its divisors is an integer number (273420000).

Almost surely, 2^72995613600 is an apocalyptic number.

72995613600 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 72995613600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157489920000).

72995613600 is an abundant number, since it is smaller than the sum of its proper divisors (241984226400).

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

72995613600 is a wasteful number, since it uses less digits than its factorization.

72995613600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 48.

The spelling of 72995613600 in words is "seventy-two billion, nine hundred ninety-five million, six hundred thirteen thousand, six hundred".