66772506 has 16 divisors (see below), whose sum is σ = 133945344. Its totient is φ = 22190784.

The previous prime is 66772501. The next prime is 66772553. The reversal of 66772506 is 60527766.

It is not an unprimeable number, because it can be changed into a prime (66772501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14490 + ... + 18533.

It is an arithmetic number, because the mean of its divisors is an integer number (8371584).

Almost surely, 2^66772506 is an apocalyptic number.

66772506 is an abundant number, since it is smaller than the sum of its proper divisors (67172838).

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

66772506 is a wasteful number, since it uses less digits than its factorization.

66772506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33365.

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

The square root of 66772506 is about 8171.4445479364. Note that the first 3 decimals coincide. The cubic root of 66772506 is about 405.6945983187.

Subtracting from 66772506 its product of nonzero digits (105840), we obtain a palindrome (66666666).

The spelling of 66772506 in words is "sixty-six million, seven hundred seventy-two thousand, five hundred six".