72511008 has 48 divisors (see below), whose sum is σ = 191147040. Its totient is φ = 24068096.

The previous prime is 72511007. The next prime is 72511027. The reversal of 72511008 is 80011527.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (72511003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23203 + ... + 26141.

It is an arithmetic number, because the mean of its divisors is an integer number (3982230).

Almost surely, 2^72511008 is an apocalyptic number.

It is an amenable number.

72511008 is an abundant number, since it is smaller than the sum of its proper divisors (118636032).

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

72511008 is a wasteful number, since it uses less digits than its factorization.

72511008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3209 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 72511008 is about 8515.3395704458. The cubic root of 72511008 is about 416.9986485588.

The spelling of 72511008 in words is "seventy-two million, five hundred eleven thousand, eight".