72076992 has 112 divisors (see below), whose sum is σ = 208922112. Its totient is φ = 21795840.

The previous prime is 72076969. The next prime is 72077003. The reversal of 72076992 is 29967027.

It is a super-3 number, since 3×72076992³ (a number of 25 digits) contains 333 as substring.

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, 167017 + ... + 167447.

It is an arithmetic number, because the mean of its divisors is an integer number (1865376).

Almost surely, 2^72076992 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 72076992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104461056).

72076992 is an abundant number, since it is smaller than the sum of its proper divisors (136845120).

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

72076992 is a wasteful number, since it uses less digits than its factorization.

72076992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 72076992 is about 8489.8169591576. The cubic root of 72076992 is about 416.1649986503.

The spelling of 72076992 in words is "seventy-two million, seventy-six thousand, nine hundred ninety-two".