125532072 has 64 divisors (see below), whose sum is σ = 349641600. Its totient is φ = 41731200.

The previous prime is 125532061. The next prime is 125532073. The reversal of 125532072 is 270235521.

125532072 is a `hidden beast` number, since 125 + 532 + 0 + 7 + 2 = 666.

It is a super-2 number, since 2×125532072² = 31516602201226368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (125532073) 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, 129333 + ... + 130299.

It is an arithmetic number, because the mean of its divisors is an integer number (5463150).

Almost surely, 2^125532072 is an apocalyptic number.

125532072 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 125532072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174820800).

125532072 is an abundant number, since it is smaller than the sum of its proper divisors (224109528).

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

125532072 is a wasteful number, since it uses less digits than its factorization.

125532072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 125532072 is about 11204.1096031769. The cubic root of 125532072 is about 500.7084251270.

Adding to 125532072 its reverse (270235521), we get a palindrome (395767593).

The spelling of 125532072 in words is "one hundred twenty-five million, five hundred thirty-two thousand, seventy-two".