72635723748 has 36 divisors (see below), whose sum is σ = 209836536000. Its totient is φ = 20753063856.

The previous prime is 72635723729. The next prime is 72635723759. The reversal of 72635723748 is 84732753627.

72635723748 is a `hidden beast` number, since 7 + 2 + 63 + 572 + 3 + 7 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 72635723694 and 72635723703.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144118248 + ... + 144118751.

Almost surely, 2^72635723748 is an apocalyptic number.

It is an amenable number.

72635723748 is an abundant number, since it is smaller than the sum of its proper divisors (137200812252).

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

72635723748 is a wasteful number, since it uses less digits than its factorization.

72635723748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288237016 (or 288237011 counting only the distinct ones).

The product of its digits is 11854080, while the sum is 54.

The spelling of 72635723748 in words is "seventy-two billion, six hundred thirty-five million, seven hundred twenty-three thousand, seven hundred forty-eight".