66772056 has 64 divisors (see below), whose sum is σ = 190360800. Its totient is φ = 19335168.

The previous prime is 66772051. The next prime is 66772093. The reversal of 66772056 is 65027766.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66772051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 991 + ... + 11598.

Almost surely, 2^66772056 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 66772056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95180400).

66772056 is an abundant number, since it is smaller than the sum of its proper divisors (123588744).

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

66772056 is a wasteful number, since it uses less digits than its factorization.

66772056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12628 (or 12624 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 66772056 is about 8171.4170129788. The cubic root of 66772056 is about 405.6936869507.

The spelling of 66772056 in words is "sixty-six million, seven hundred seventy-two thousand, fifty-six".