72096072 has 32 divisors (see below), whose sum is σ = 180448800. Its totient is φ = 24004224.

The previous prime is 72096047. The next prime is 72096097. The reversal of 72096072 is 27069027.

It is an interprime number because it is at equal distance from previous prime (72096047) and next prime (72096097).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37683 + ... + 39549.

It is an arithmetic number, because the mean of its divisors is an integer number (5639025).

Almost surely, 2^72096072 is an apocalyptic number.

It is an amenable number.

72096072 is an abundant number, since it is smaller than the sum of its proper divisors (108352728).

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

72096072 is a wasteful number, since it uses less digits than its factorization.

72096072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3485 (or 3481 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 72096072 is about 8490.9405839400. The cubic root of 72096072 is about 416.2017173840.

The spelling of 72096072 in words is "seventy-two million, ninety-six thousand, seventy-two".