64071972 has 30 divisors (see below), whose sum is σ = 167497638. Its totient is φ = 21357216.

The previous prime is 64071967. The next prime is 64071977. The reversal of 64071972 is 27917046.

It is a happy number.

64071972 is a `hidden beast` number, since 640 + 7 + 1 + 9 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (64071967) and next prime (64071977).

It can be written as a sum of positive squares in only one way, i.e., 52620516 + 11451456 = 7254^2 + 3384^2 .

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 (64071977) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 98553 + ... + 99200.

Almost surely, 2^64071972 is an apocalyptic number.

It is an amenable number.

64071972 is an abundant number, since it is smaller than the sum of its proper divisors (103425666).

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

64071972 is a wasteful number, since it uses less digits than its factorization.

64071972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197769 (or 197758 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 64071972 is about 8004.4969860698. The cubic root of 64071972 is about 400.1498854955.

The spelling of 64071972 in words is "sixty-four million, seventy-one thousand, nine hundred seventy-two".