634125072 has 120 divisors (see below), whose sum is σ = 1941947136. Its totient is φ = 177725184.

The previous prime is 634125071. The next prime is 634125101. The reversal of 634125072 is 270521436.

It is a super-2 number, since 2×634125072² = 804229213878010368, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (634125071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122113 + ... + 127199.

Almost surely, 2^634125072 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 634125072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970973568).

634125072 is an abundant number, since it is smaller than the sum of its proper divisors (1307822064).

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

634125072 is a wasteful number, since it uses less digits than its factorization.

634125072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5165 (or 5152 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 634125072 is about 25181.8401233905. The cubic root of 634125072 is about 859.1288600768.

It can be divided in two parts, 6341 and 25072, that added together give a palindrome (31413).

The spelling of 634125072 in words is "six hundred thirty-four million, one hundred twenty-five thousand, seventy-two".