72318015 has 96 divisors (see below), whose sum is σ = 162279936. Its totient is φ = 30015360.

The previous prime is 72318013. The next prime is 72318019. The reversal of 72318015 is 51081327.

It is a Cunningham number, because it is equal to 8504²-1.

It is not a de Polignac number, because 72318015 - 2¹ = 72318013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 72318015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72318013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93169 + ... + 93941.

It is an arithmetic number, because the mean of its divisors is an integer number (1690416).

Almost surely, 2^72318015 is an apocalyptic number.

72318015 is an abundant number, since it is smaller than the sum of its proper divisors (89961921).

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

72318015 is a wasteful number, since it uses less digits than its factorization.

72318015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 72318015 is about 8503.9999412041. Note that the first 4 decimals coincide. The cubic root of 72318015 is about 416.6283630567.

The spelling of 72318015 in words is "seventy-two million, three hundred eighteen thousand, fifteen".