66252672 has 144 divisors (see below), whose sum is σ = 203541000. Its totient is φ = 20680704.

The previous prime is 66252647. The next prime is 66252709. The reversal of 66252672 is 27625266.

66252672 is a `hidden beast` number, since 6 + 62 + 526 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 332829 + ... + 333027.

Almost surely, 2^66252672 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 66252672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101770500).

66252672 is an abundant number, since it is smaller than the sum of its proper divisors (137288328).

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

66252672 is a wasteful number, since it uses less digits than its factorization.

66252672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 221 counting only the distinct ones).

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

The square root of 66252672 is about 8139.5744360501. The cubic root of 66252672 is about 404.6390565597.

The spelling of 66252672 in words is "sixty-six million, two hundred fifty-two thousand, six hundred seventy-two".