72576270000 has 1600 divisors, whose sum is σ = 312380006400. Its totient is φ = 15966720000.

The previous prime is 72576269963. The next prime is 72576270017. The reversal of 72576270000 is 7267527.

72576270000 is a `hidden beast` number, since 7 + 25 + 7 + 627 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×72576270000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2341169985 + ... + 2341170015.

It is an arithmetic number, because the mean of its divisors is an integer number (195237504).

Almost surely, 2^72576270000 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 72576270000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156190003200).

72576270000 is an abundant number, since it is smaller than the sum of its proper divisors (239803736400).

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

72576270000 is a wasteful number, since it uses less digits than its factorization.

72576270000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The spelling of 72576270000 in words is "seventy-two billion, five hundred seventy-six million, two hundred seventy thousand".