72991296 has 168 divisors, whose sum is σ = 245246144. Its totient is φ = 20321280.

The previous prime is 72991291. The next prime is 72991297. The reversal of 72991296 is 69219927.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (72991291) 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, 173166 + ... + 173586.

Almost surely, 2^72991296 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 72991296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122623072).

72991296 is an abundant number, since it is smaller than the sum of its proper divisors (172254848).

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

72991296 is a wasteful number, since it uses less digits than its factorization.

72991296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 476 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 72991296 is about 8543.4943670608. The cubic root of 72991296 is about 417.9173084901.

The spelling of 72991296 in words is "seventy-two million, nine hundred ninety-one thousand, two hundred ninety-six".