72072253 has 16 divisors (see below), whose sum is σ = 80213760. Its totient is φ = 64209600.

The previous prime is 72072239. The next prime is 72072269. The reversal of 72072253 is 35227027.

It is a cyclic number.

It is not a de Polignac number, because 72072253 - 2²⁵ = 38517821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72072233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170983 + ... + 171403.

It is an arithmetic number, because the mean of its divisors is an integer number (5013360).

Almost surely, 2^72072253 is an apocalyptic number.

It is an amenable number.

72072253 is a deficient number, since it is larger than the sum of its proper divisors (8141507).

72072253 is a wasteful number, since it uses less digits than its factorization.

72072253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708.

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 72072253 is about 8489.5378555019. The cubic root of 72072253 is about 416.1558776206.

The spelling of 72072253 in words is "seventy-two million, seventy-two thousand, two hundred fifty-three".