72505536 has 28 divisors (see below), whose sum is σ = 191838072. Its totient is φ = 24168448.

The previous prime is 72505529. The next prime is 72505553. The reversal of 72505536 is 63550527.

It is a junction number, because it is equal to n+sod(n) for n = 72505497 and 72505506.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 188625 + ... + 189008.

Almost surely, 2^72505536 is an apocalyptic number.

It is an amenable number.

72505536 is an abundant number, since it is smaller than the sum of its proper divisors (119332536).

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

72505536 is a wasteful number, since it uses less digits than its factorization.

72505536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377648 (or 377638 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 33.

The square root of 72505536 is about 8515.0182618712. The cubic root of 72505536 is about 416.9881587768.

The spelling of 72505536 in words is "seventy-two million, five hundred five thousand, five hundred thirty-six".