72435736 has 64 divisors (see below), whose sum is σ = 147549600. Its totient is φ = 33266688.

The previous prime is 72435719. The next prime is 72435743. The reversal of 72435736 is 63753427.

It is a junction number, because it is equal to n+sod(n) for n = 72435695 and 72435704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 528660 + ... + 528796.

Almost surely, 2^72435736 is an apocalyptic number.

It is an amenable number.

72435736 is an abundant number, since it is smaller than the sum of its proper divisors (75113864).

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

72435736 is a wasteful number, since it uses less digits than its factorization.

72435736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 264 counting only the distinct ones).

The product of its digits is 105840, while the sum is 37.

The square root of 72435736 is about 8510.9186343191. The cubic root of 72435736 is about 416.8543063843.

The spelling of 72435736 in words is "seventy-two million, four hundred thirty-five thousand, seven hundred thirty-six".