72319296 has 84 divisors (see below), whose sum is σ = 222613728. Its totient is φ = 20659968.

The previous prime is 72319277. The next prime is 72319321. The reversal of 72319296 is 69291327.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5565 + ... + 13251.

Almost surely, 2^72319296 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 72319296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111306864).

72319296 is an abundant number, since it is smaller than the sum of its proper divisors (150294432).

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

72319296 is a wasteful number, since it uses less digits than its factorization.

72319296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7716 (or 7699 counting only the distinct ones).

The product of its digits is 40824, while the sum is 39.

The square root of 72319296 is about 8504.0752583688. The cubic root of 72319296 is about 416.6308230144.

The spelling of 72319296 in words is "seventy-two million, three hundred nineteen thousand, two hundred ninety-six".