72361296 has 80 divisors (see below), whose sum is σ = 237385600. Its totient is φ = 20673792.

The previous prime is 72361279. The next prime is 72361319. The reversal of 72361296 is 69216327.

72361296 is a `hidden beast` number, since 7 + 2 + 361 + 296 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 72361296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8941 + ... + 14988.

It is an arithmetic number, because the mean of its divisors is an integer number (2967320).

Almost surely, 2^72361296 is an apocalyptic number.

It is an amenable number.

72361296 is an abundant number, since it is smaller than the sum of its proper divisors (165024304).

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

72361296 is a wasteful number, since it uses less digits than its factorization.

72361296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23953 (or 23941 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 72361296 is about 8506.5443042401. The cubic root of 72361296 is about 416.7114612819.

The spelling of 72361296 in words is "seventy-two million, three hundred sixty-one thousand, two hundred ninety-six".