66456972 has 36 divisors (see below), whose sum is σ = 168943320. Its totient is φ = 22026432.

The previous prime is 66456967. The next prime is 66456979. The reversal of 66456972 is 27965466.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (66456979) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1288 + ... + 11600.

It is an arithmetic number, because the mean of its divisors is an integer number (4692870).

Almost surely, 2^66456972 is an apocalyptic number.

It is an amenable number.

66456972 is an abundant number, since it is smaller than the sum of its proper divisors (102486348).

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

66456972 is a wasteful number, since it uses less digits than its factorization.

66456972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10502 (or 10497 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 66456972 is about 8152.1145723058. The cubic root of 66456972 is about 405.0545514082.

The spelling of 66456972 in words is "sixty-six million, four hundred fifty-six thousand, nine hundred seventy-two".