72115000176 has 160 divisors (see below), whose sum is σ = 194618972160. Its totient is φ = 22982106112.

The previous prime is 72115000151. The next prime is 72115000207. The reversal of 72115000176 is 67100051127.

It is a super-3 number, since 3×72115000176³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83562721 + ... + 83563583.

It is an arithmetic number, because the mean of its divisors is an integer number (1216368576).

Almost surely, 2^72115000176 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 72115000176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97309486080).

72115000176 is an abundant number, since it is smaller than the sum of its proper divisors (122503971984).

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

72115000176 is a wasteful number, since it uses less digits than its factorization.

72115000176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 30.

The spelling of 72115000176 in words is "seventy-two billion, one hundred fifteen million, one hundred seventy-six", and thus it is an aban number.