42962752 has 56 divisors (see below), whose sum is σ = 99852480. Its totient is φ = 17955840.

The previous prime is 42962737. The next prime is 42962753. The reversal of 42962752 is 25726924.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42962753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17199 + ... + 19537.

It is an arithmetic number, because the mean of its divisors is an integer number (1783080).

Almost surely, 2^42962752 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 42962752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49926240).

42962752 is an abundant number, since it is smaller than the sum of its proper divisors (56889728).

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

42962752 is a wasteful number, since it uses less digits than its factorization.

42962752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2399 (or 2389 counting only the distinct ones).

The product of its digits is 60480, while the sum is 37.

The square root of 42962752 is about 6554.5977756076. The cubic root of 42962752 is about 350.2386182335.

The spelling of 42962752 in words is "forty-two million, nine hundred sixty-two thousand, seven hundred fifty-two".