664125072 has 80 divisors (see below), whose sum is σ = 1859672640. Its totient is φ = 203014656.

The previous prime is 664125053. The next prime is 664125073. The reversal of 664125072 is 270521466.

It is a super-2 number, since 2×664125072² = 882124222518010368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (664125073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94579 + ... + 101357.

It is an arithmetic number, because the mean of its divisors is an integer number (23245908).

Almost surely, 2^664125072 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 664125072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929836320).

664125072 is an abundant number, since it is smaller than the sum of its proper divisors (1195547568).

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

664125072 is a wasteful number, since it uses less digits than its factorization.

664125072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6960 (or 6954 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 664125072 is about 25770.6242066427. The cubic root of 664125072 is about 872.4689072480.

It can be divided in two parts, 6641 and 25072, that added together give a palindrome (31713).

The spelling of 664125072 in words is "six hundred sixty-four million, one hundred twenty-five thousand, seventy-two".