125364672 has 98 divisors (see below), whose sum is σ = 373123968. Its totient is φ = 41772672.

The previous prime is 125364601. The next prime is 125364677. The reversal of 125364672 is 276463521.

125364672 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 646 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125364677) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 45313 + ... + 47999.

Almost surely, 2^125364672 is an apocalyptic number.

125364672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125364672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186561984).

125364672 is an abundant number, since it is smaller than the sum of its proper divisors (247759296).

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

125364672 is an frugal number, since it uses more digits than its factorization.

125364672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2717 (or 2692 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 125364672 is about 11196.6366378480. The cubic root of 125364672 is about 500.4857572603.

The spelling of 125364672 in words is "one hundred twenty-five million, three hundred sixty-four thousand, six hundred seventy-two".