125487072 has 72 divisors (see below), whose sum is σ = 365188824. Its totient is φ = 40852224.

The previous prime is 125487007. The next prime is 125487079. The reversal of 125487072 is 270784521.

It is a tau number, because it is divible by the number of its divisors (72).

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 (125487079) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7318 + ... + 17450.

It is an arithmetic number, because the mean of its divisors is an integer number (5072067).

Almost surely, 2^125487072 is an apocalyptic number.

125487072 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 125487072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182594412).

125487072 is an abundant number, since it is smaller than the sum of its proper divisors (239701752).

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

125487072 is a wasteful number, since it uses less digits than its factorization.

125487072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10192 (or 10181 counting only the distinct ones).

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

The square root of 125487072 is about 11202.1012314655. The cubic root of 125487072 is about 500.6485876377.

The spelling of 125487072 in words is "one hundred twenty-five million, four hundred eighty-seven thousand, seventy-two".