72127296 has 42 divisors (see below), whose sum is σ = 206741522. Its totient is φ = 24042240.

The previous prime is 72127283. The next prime is 72127301. The reversal of 72127296 is 69272127.

It can be written as a sum of positive squares in only one way, i.e., 64641600 + 7485696 = 8040^2 + 2736^2 .

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

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 72127296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 62035 + ... + 63186.

Almost surely, 2^72127296 is an apocalyptic number.

It is an amenable number.

72127296 is an abundant number, since it is smaller than the sum of its proper divisors (134614226).

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

72127296 is a wasteful number, since it uses less digits than its factorization.

72127296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125239 (or 125226 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 72127296 is about 8492.7790504640. The cubic root of 72127296 is about 416.2617928104.

The spelling of 72127296 in words is "seventy-two million, one hundred twenty-seven thousand, two hundred ninety-six".