42932736 has 240 divisors, whose sum is σ = 155757888. Its totient is φ = 11151360.

The previous prime is 42932653. The next prime is 42932753. The reversal of 42932736 is 63723924.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 42932736.

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, 3902971 + ... + 3902981.

Almost surely, 2^42932736 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 42932736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77878944).

42932736 is an abundant number, since it is smaller than the sum of its proper divisors (112825152).

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

42932736 is an equidigital number, since it uses as much as digits as its factorization.

42932736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 23 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 42932736 is about 6552.3076850832. The cubic root of 42932736 is about 350.1570342949.

The spelling of 42932736 in words is "forty-two million, nine hundred thirty-two thousand, seven hundred thirty-six".