72666252 has 18 divisors (see below), whose sum is σ = 183684228. Its totient is φ = 24222072.

The previous prime is 72666247. The next prime is 72666283. The reversal of 72666252 is 25266627.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2018507 = 72666252 / (7 + 2 + 6 + 6 + 6 + 2 + 5 + 2).

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 5 ways as a sum of consecutive naturals, for example, 1009218 + ... + 1009289.

Almost surely, 2^72666252 is an apocalyptic number.

It is an amenable number.

72666252 is an abundant number, since it is smaller than the sum of its proper divisors (111017976).

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

72666252 is a wasteful number, since it uses less digits than its factorization.

72666252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018517 (or 2018512 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 72666252 is about 8524.4502462036. The cubic root of 72666252 is about 417.2960305019.

It can be divided in two parts, 7266625 and 2, that added together give a palindrome (7266627).

The spelling of 72666252 in words is "seventy-two million, six hundred sixty-six thousand, two hundred fifty-two".