125517672 has 96 divisors (see below), whose sum is σ = 390187200. Its totient is φ = 35707392.

The previous prime is 125517671. The next prime is 125517673. The reversal of 125517672 is 276715521.

It is an interprime number because it is at equal distance from previous prime (125517671) and next prime (125517673).

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 (125517671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169479 + ... + 170217.

It is an arithmetic number, because the mean of its divisors is an integer number (4064450).

Almost surely, 2^125517672 is an apocalyptic number.

125517672 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 125517672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195093600).

125517672 is an abundant number, since it is smaller than the sum of its proper divisors (264669528).

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

125517672 is a wasteful number, since it uses less digits than its factorization.

125517672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1088 counting only the distinct ones).

The product of its digits is 29400, while the sum is 36.

The square root of 125517672 is about 11203.4669634002. The cubic root of 125517672 is about 500.6892786865.

The spelling of 125517672 in words is "one hundred twenty-five million, five hundred seventeen thousand, six hundred seventy-two".