72735372200 has 48 divisors (see below), whose sum is σ = 170784141660. Its totient is φ = 28806080000.

The previous prime is 72735372187. The next prime is 72735372233. The reversal of 72735372200 is 227353727.

It can be written as a sum of positive squares in 6 ways, for example, as 58902319204 + 13833052996 = 242698^2 + 117614^2 .

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, 1780181 + ... + 1820580.

Almost surely, 2^72735372200 is an apocalyptic number.

It is an amenable number.

72735372200 is an abundant number, since it is smaller than the sum of its proper divisors (98048769460).

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

72735372200 is a wasteful number, since it uses less digits than its factorization.

72735372200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600878 (or 3600869 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 38.

The spelling of 72735372200 in words is "seventy-two billion, seven hundred thirty-five million, three hundred seventy-two thousand, two hundred".