42972756 has 48 divisors (see below), whose sum is σ = 108144960. Its totient is φ = 13236480.

The previous prime is 42972749. The next prime is 42972757. The reversal of 42972756 is 65727924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42972757) 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, 7050 + ... + 11646.

It is an arithmetic number, because the mean of its divisors is an integer number (2253020).

Almost surely, 2^42972756 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 42972756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54072480).

42972756 is an abundant number, since it is smaller than the sum of its proper divisors (65172204).

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

42972756 is a wasteful number, since it uses less digits than its factorization.

42972756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4664 (or 4662 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 42972756 is about 6555.3608596324. The cubic root of 42972756 is about 350.2658008126.

The spelling of 42972756 in words is "forty-two million, nine hundred seventy-two thousand, seven hundred fifty-six".