72705536 has 40 divisors (see below), whose sum is σ = 146174424. Its totient is φ = 36126720.

The previous prime is 72705527. The next prime is 72705541. The reversal of 72705536 is 63550727.

It is a junction number, because it is equal to n+sod(n) for n = 72705496 and 72705505.

It is a congruent number.

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, 107696 + ... + 108368.

Almost surely, 2^72705536 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 72705536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73087212).

72705536 is an abundant number, since it is smaller than the sum of its proper divisors (73468888).

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

72705536 is an equidigital number, since it uses as much as digits as its factorization.

72705536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 35.

The square root of 72705536 is about 8526.7541303828. The cubic root of 72705536 is about 417.3712148946.

The spelling of 72705536 in words is "seventy-two million, seven hundred five thousand, five hundred thirty-six".