125372000 has 96 divisors (see below), whose sum is σ = 331871904. Its totient is φ = 46272000.

The previous prime is 125371999. The next prime is 125372099. The reversal of 125372000 is 273521.

It is a super-3 number, since 3×125372000³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50795 + ... + 53205.

It is an arithmetic number, because the mean of its divisors is an integer number (3456999).

Almost surely, 2^125372000 is an apocalyptic number.

125372000 is a gapful number since it is divisible by the number (10) 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 125372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165935952).

125372000 is an abundant number, since it is smaller than the sum of its proper divisors (206499904).

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

125372000 is a wasteful number, since it uses less digits than its factorization.

125372000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2449 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 125372000 is about 11196.9638741938. The cubic root of 125372000 is about 500.4955087799.

The spelling of 125372000 in words is "one hundred twenty-five million, three hundred seventy-two thousand".