72590508720 has 400 divisors, whose sum is σ = 259641819360. Its totient is φ = 18787811328.

The previous prime is 72590508719. The next prime is 72590508787. The reversal of 72590508720 is 2780509527.

It is a happy number.

72590508720 is a `hidden beast` number, since 7 + 2 + 590 + 50 + 8 + 7 + 2 + 0 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 33312591 + ... + 33314769.

Almost surely, 2^72590508720 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 72590508720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129820909680).

72590508720 is an abundant number, since it is smaller than the sum of its proper divisors (187051310640).

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

72590508720 is a wasteful number, since it uses less digits than its factorization.

72590508720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 72590508720 in words is "seventy-two billion, five hundred ninety million, five hundred eight thousand, seven hundred twenty".