66819072 has 44 divisors (see below), whose sum is σ = 178105376. Its totient is φ = 22272000.

The previous prime is 66819059. The next prime is 66819073. The reversal of 66819072 is 27091866.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 66819072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66819073) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7804 + ... + 13947.

Almost surely, 2^66819072 is an apocalyptic number.

It is an amenable number.

66819072 is an abundant number, since it is smaller than the sum of its proper divisors (111286304).

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

66819072 is a wasteful number, since it uses less digits than its factorization.

66819072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21774 (or 21756 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 66819072 is about 8174.2933639551. The cubic root of 66819072 is about 405.7888845549.

It can be divided in two parts, 6681 and 9072, that added together give a triangular number (15753 = T₁₇₇).

The spelling of 66819072 in words is "sixty-six million, eight hundred nineteen thousand, seventy-two".