42525972 has 72 divisors (see below), whose sum is σ = 113314656. Its totient is φ = 13942368.

The previous prime is 42525943. The next prime is 42525983. The reversal of 42525972 is 27952524.

It is a happy number.

42525972 is a `hidden beast` number, since 42 + 525 + 97 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64798 + ... + 65450.

Almost surely, 2^42525972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42525972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56657328).

42525972 is an abundant number, since it is smaller than the sum of its proper divisors (70788684).

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

42525972 is a wasteful number, since it uses less digits than its factorization.

42525972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 725 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 42525972 is about 6521.1940624398. The cubic root of 42525972 is about 349.0476750879.

The spelling of 42525972 in words is "forty-two million, five hundred twenty-five thousand, nine hundred seventy-two".