72118970 has 64 divisors (see below), whose sum is σ = 162950400. Its totient is φ = 22325760.

The previous prime is 72118933. The next prime is 72118987. The reversal of 72118970 is 7981127.

It is a super-2 number, since 2×72118970² = 10402291667721800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 72118970.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176126 + ... + 176534.

It is an arithmetic number, because the mean of its divisors is an integer number (2546100).

Almost surely, 2^72118970 is an apocalyptic number.

72118970 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72118970 is an abundant number, since it is smaller than the sum of its proper divisors (90831430).

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

72118970 is a wasteful number, since it uses less digits than its factorization.

72118970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663.

The product of its (nonzero) digits is 7056, while the sum is 35.

The square root of 72118970 is about 8492.2888551909. The cubic root of 72118970 is about 416.2457751618.

It can be divided in two parts, 721 and 18970, that added together give a palindrome (19691).

The spelling of 72118970 in words is "seventy-two million, one hundred eighteen thousand, nine hundred seventy".