66512772 has 72 divisors (see below), whose sum is σ = 183266720. Its totient is φ = 20856960.

The previous prime is 66512759. The next prime is 66512779. The reversal of 66512772 is 27721566.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (66512779) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30147 + ... + 32277.

Almost surely, 2^66512772 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 66512772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91633360).

66512772 is an abundant number, since it is smaller than the sum of its proper divisors (116753948).

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

66512772 is a wasteful number, since it uses less digits than its factorization.

66512772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178 (or 2153 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 66512772 is about 8155.5362791174. The cubic root of 66512772 is about 405.1678864999.

The spelling of 66512772 in words is "sixty-six million, five hundred twelve thousand, seven hundred seventy-two".