72958556 has 48 divisors (see below), whose sum is σ = 147692160. Its totient is φ = 31187520.

The previous prime is 72958541. The next prime is 72958597. The reversal of 72958556 is 65585927.

Together with 74733604 it forms an amicable pair .

Its product of digits (756000) is a multiple of the sum of its prime divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 72958556.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 164471 + ... + 164913.

It is an arithmetic number, because the mean of its divisors is an integer number (3076920).

Almost surely, 2^72958556 is an apocalyptic number.

72958556 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

72958556 is an abundant number, since it is smaller than the sum of its proper divisors (74733604).

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

72958556 is a wasteful number, since it uses less digits than its factorization.

72958556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 672 counting only the distinct ones).

The product of its digits is 756000, while the sum is 47.

The square root of 72958556 is about 8541.5780743373. The cubic root of 72958556 is about 417.8548140115.

It can be divided in two parts, 7295 and 8556, that added together give a palindrome (15851).

The spelling of 72958556 in words is "seventy-two million, nine hundred fifty-eight thousand, five hundred fifty-six".