125086272 has 112 divisors (see below), whose sum is σ = 369051840. Its totient is φ = 37158912.

The previous prime is 125086243. The next prime is 125086277. The reversal of 125086272 is 272680521.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (125086277) 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, 61008 + ... + 63024.

Almost surely, 2^125086272 is an apocalyptic number.

125086272 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 125086272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184525920).

125086272 is an abundant number, since it is smaller than the sum of its proper divisors (243965568).

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

125086272 is a wasteful number, since it uses less digits than its factorization.

125086272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 125086272 is about 11184.1974231502. The cubic root of 125086272 is about 500.1150028800.

The spelling of 125086272 in words is "one hundred twenty-five million, eighty-six thousand, two hundred seventy-two".