66372624 has 120 divisors (see below), whose sum is σ = 207174240. Its totient is φ = 19713024.

The previous prime is 66372617. The next prime is 66372653. The reversal of 66372624 is 42627366.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 45799 + ... + 47225.

It is an arithmetic number, because the mean of its divisors is an integer number (1726452).

Almost surely, 2^66372624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66372624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103587120).

66372624 is an abundant number, since it is smaller than the sum of its proper divisors (140801616).

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

66372624 is a wasteful number, since it uses less digits than its factorization.

66372624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1468 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 66372624 is about 8146.9395480757. The cubic root of 66372624 is about 404.8831121299.

It can be divided in two parts, 6637 and 2624, that added together give a cube (9261 = 21³).

The spelling of 66372624 in words is "sixty-six million, three hundred seventy-two thousand, six hundred twenty-four".