72306096 has 40 divisors (see below), whose sum is σ = 196624320. Its totient is φ = 22833216.

The previous prime is 72306079. The next prime is 72306097. The reversal of 72306096 is 69060327.

It is a super-2 number, since 2×72306096² = 10456343037522432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72306097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38730 + ... + 40553.

It is an arithmetic number, because the mean of its divisors is an integer number (4915608).

Almost surely, 2^72306096 is an apocalyptic number.

72306096 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

72306096 is an abundant number, since it is smaller than the sum of its proper divisors (124318224).

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

72306096 is a wasteful number, since it uses less digits than its factorization.

72306096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79313 (or 79307 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 72306096 is about 8503.2991244575. The cubic root of 72306096 is about 416.6054731111.

The spelling of 72306096 in words is "seventy-two million, three hundred six thousand, ninety-six".