72813153 has 8 divisors (see below), whose sum is σ = 110953408. Its totient is φ = 41607504.

The previous prime is 72813133. The next prime is 72813157. The reversal of 72813153 is 35131827.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 72813153 - 2²¹ = 70716001 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72813153.

It is not an unprimeable number, because it can be changed into a prime (72813157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1733626 + ... + 1733667.

It is an arithmetic number, because the mean of its divisors is an integer number (13869176).

Almost surely, 2^72813153 is an apocalyptic number.

It is an amenable number.

72813153 is a deficient number, since it is larger than the sum of its proper divisors (38140255).

72813153 is a wasteful number, since it uses less digits than its factorization.

72813153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3467303.

The product of its digits is 5040, while the sum is 30.

The square root of 72813153 is about 8533.0623459576. The cubic root of 72813153 is about 417.5770410137.

The spelling of 72813153 in words is "seventy-two million, eight hundred thirteen thousand, one hundred fifty-three".