125407872 has 128 divisors (see below), whose sum is σ = 374299200. Its totient is φ = 41333760.

The previous prime is 125407871. The next prime is 125407897. The reversal of 125407872 is 278704521.

It is a tau number, because it is divible by the number of its divisors (128).

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 (125407871) 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, 452598 + ... + 452874.

Almost surely, 2^125407872 is an apocalyptic number.

125407872 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 125407872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187149600).

125407872 is an abundant number, since it is smaller than the sum of its proper divisors (248891328).

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

125407872 is a wasteful number, since it uses less digits than its factorization.

125407872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 125407872 is about 11198.5656224358. The cubic root of 125407872 is about 500.5432389026.

The spelling of 125407872 in words is "one hundred twenty-five million, four hundred seven thousand, eight hundred seventy-two".