72157233 has 16 divisors (see below), whose sum is σ = 101437056. Its totient is φ = 45534720.

The previous prime is 72157199. The next prime is 72157271. The reversal of 72157233 is 33275127.

It is not a de Polignac number, because 72157233 - 2¹⁰ = 72156209 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72157233.

It is not an unprimeable number, because it can be changed into a prime (72157933) 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, 1303 + ... + 12083.

It is an arithmetic number, because the mean of its divisors is an integer number (6339816).

Almost surely, 2^72157233 is an apocalyptic number.

It is an amenable number.

72157233 is a deficient number, since it is larger than the sum of its proper divisors (29279823).

72157233 is a wasteful number, since it uses less digits than its factorization.

72157233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10904.

The product of its digits is 8820, while the sum is 30.

The square root of 72157233 is about 8494.5413649002. The cubic root of 72157233 is about 416.3193757519.

It can be divided in two parts, 72157 and 233, that added together give a triangular number (72390 = T₃₈₀).

The spelling of 72157233 in words is "seventy-two million, one hundred fifty-seven thousand, two hundred thirty-three".