72012096 has 168 divisors, whose sum is σ = 227441760. Its totient is φ = 21648384.

The previous prime is 72012077. The next prime is 72012097. The reversal of 72012096 is 69021027.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72012097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441711 + ... + 441873.

It is an arithmetic number, because the mean of its divisors is an integer number (1353820).

Almost surely, 2^72012096 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 72012096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113720880).

72012096 is an abundant number, since it is smaller than the sum of its proper divisors (155429664).

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

72012096 is a wasteful number, since it uses less digits than its factorization.

72012096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 72012096 is about 8485.9941079404. The cubic root of 72012096 is about 416.0400602447.

The spelling of 72012096 in words is "seventy-two million, twelve thousand, ninety-six".