72815361 has 8 divisors (see below), whose sum is σ = 99153024. Its totient is φ = 47510640.

The previous prime is 72815339. The next prime is 72815387. The reversal of 72815361 is 16351827.

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

It is not a de Polignac number, because 72815361 - 2⁵ = 72815329 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (72855361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258070 + ... + 258351.

It is an arithmetic number, because the mean of its divisors is an integer number (12394128).

Almost surely, 2^72815361 is an apocalyptic number.

It is an amenable number.

72815361 is a deficient number, since it is larger than the sum of its proper divisors (26337663).

72815361 is a wasteful number, since it uses less digits than its factorization.

72815361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516471.

The product of its digits is 10080, while the sum is 33.

The square root of 72815361 is about 8533.1917240854. The cubic root of 72815361 is about 417.5812618664.

The spelling of 72815361 in words is "seventy-two million, eight hundred fifteen thousand, three hundred sixty-one".