72995625600 has 384 divisors, whose sum is σ = 252316469760. Its totient is φ = 18524160000.

The previous prime is 72995625557. The next prime is 72995625629. The reversal of 72995625600 is 652659927.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×72995625600² (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 18151590 + ... + 18155610.

It is an arithmetic number, because the mean of its divisors is an integer number (657074140).

Almost surely, 2^72995625600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72995625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126158234880).

72995625600 is an abundant number, since it is smaller than the sum of its proper divisors (179320844160).

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

72995625600 is a wasteful number, since it uses less digits than its factorization.

72995625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4140 (or 4123 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 51.

The spelling of 72995625600 in words is "seventy-two billion, nine hundred ninety-five million, six hundred twenty-five thousand, six hundred".