72397296 has 120 divisors (see below), whose sum is σ = 218200320. Its totient is φ = 22336128.

The previous prime is 72397289. The next prime is 72397309. The reversal of 72397296 is 69279327.

It is a happy number.

It is a super-2 number, since 2×72397296² = 10482736936223232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128311 + ... + 128873.

It is an arithmetic number, because the mean of its divisors is an integer number (1818336).

Almost surely, 2^72397296 is an apocalyptic number.

72397296 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72397296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109100160).

72397296 is an abundant number, since it is smaller than the sum of its proper divisors (145803024).

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

72397296 is a wasteful number, since it uses less digits than its factorization.

72397296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 634 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 72397296 is about 8508.6600590222. The cubic root of 72397296 is about 416.7805549656.

It can be divided in two parts, 7239 and 7296, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 72397296 in words is "seventy-two million, three hundred ninety-seven thousand, two hundred ninety-six".