72175769600 has 144 divisors (see below), whose sum is σ = 195222114360. Its totient is φ = 26245529600.

The previous prime is 72175769593. The next prime is 72175769641. The reversal of 72175769600 is 696757127.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 499124 + ... + 627276.

Almost surely, 2^72175769600 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 72175769600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97611057180).

72175769600 is an abundant number, since it is smaller than the sum of its proper divisors (123046344760).

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

72175769600 is a wasteful number, since it uses less digits than its factorization.

72175769600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128196 (or 128171 counting only the distinct ones).

The product of its (nonzero) digits is 1111320, while the sum is 50.

The spelling of 72175769600 in words is "seventy-two billion, one hundred seventy-five million, seven hundred sixty-nine thousand, six hundred".