125887872 has 64 divisors (see below), whose sum is σ = 364800960. Its totient is φ = 38146560.

The previous prime is 125887849. The next prime is 125887889. The reversal of 125887872 is 278788521.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10678 + ... + 19125.

It is an arithmetic number, because the mean of its divisors is an integer number (5700015).

Almost surely, 2^125887872 is an apocalyptic number.

125887872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

125887872 is an abundant number, since it is smaller than the sum of its proper divisors (238913088).

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

125887872 is a wasteful number, since it uses less digits than its factorization.

125887872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29831 (or 29819 counting only the distinct ones).

The product of its digits is 501760, while the sum is 48.

The square root of 125887872 is about 11219.9764705636. The cubic root of 125887872 is about 501.1810374380.

The spelling of 125887872 in words is "one hundred twenty-five million, eight hundred eighty-seven thousand, eight hundred seventy-two".