72415296 has 140 divisors (see below), whose sum is σ = 219133420. Its totient is φ = 23639040.

The previous prime is 72415261. The next prime is 72415313. The reversal of 72415296 is 69251427.

It can be written as a sum of positive squares in 2 ways, for example, as 33177600 + 39237696 = 5760^2 + 6264^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 72415296.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 316110 + ... + 316338.

Almost surely, 2^72415296 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 72415296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109566710).

72415296 is an abundant number, since it is smaller than the sum of its proper divisors (146718124).

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

72415296 is a wasteful number, since it uses less digits than its factorization.

72415296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 295 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 72415296 is about 8509.7177391498. The cubic root of 72415296 is about 416.8150932184.

The spelling of 72415296 in words is "seventy-two million, four hundred fifteen thousand, two hundred ninety-six".