72846576 has 60 divisors (see below), whose sum is σ = 222407640. Its totient is φ = 22074240.

The previous prime is 72846523. The next prime is 72846577. The reversal of 72846576 is 67564827.

72846576 is a `hidden beast` number, since 72 + 8 + 4 + 6 + 576 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72846577) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 21411 + ... + 24578.

It is an arithmetic number, because the mean of its divisors is an integer number (3706794).

Almost surely, 2^72846576 is an apocalyptic number.

It is an amenable number.

72846576 is an abundant number, since it is smaller than the sum of its proper divisors (149561064).

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

72846576 is a wasteful number, since it uses less digits than its factorization.

72846576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46014 (or 46005 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 72846576 is about 8535.0205623654. The cubic root of 72846576 is about 417.6409238971.

It can be divided in two parts, 72 and 846576, that added together give a palindrome (846648).

The spelling of 72846576 in words is "seventy-two million, eight hundred forty-six thousand, five hundred seventy-six".