64167972 has 48 divisors (see below), whose sum is σ = 166828032. Its totient is φ = 19029280.

The previous prime is 64167931. The next prime is 64167989. The reversal of 64167972 is 27976146.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1033 + ... + 11375.

It is an arithmetic number, because the mean of its divisors is an integer number (3475584).

Almost surely, 2^64167972 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 64167972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83414016).

64167972 is an abundant number, since it is smaller than the sum of its proper divisors (102660060).

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

64167972 is a wasteful number, since it uses less digits than its factorization.

64167972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10408 (or 10406 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The square root of 64167972 is about 8010.4913706963. The cubic root of 64167972 is about 400.3496359644.

The spelling of 64167972 in words is "sixty-four million, one hundred sixty-seven thousand, nine hundred seventy-two".