42392592 has 120 divisors (see below), whose sum is σ = 133915040. Its totient is φ = 12830400.

The previous prime is 42392579. The next prime is 42392599. The reversal of 42392592 is 29529324.

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

It is not an unprimeable number, because it can be changed into a prime (42392599) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51867 + ... + 52677.

Almost surely, 2^42392592 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 42392592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66957520).

42392592 is an abundant number, since it is smaller than the sum of its proper divisors (91522448).

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

42392592 is a wasteful number, since it uses less digits than its factorization.

42392592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 827 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 42392592 is about 6510.9593763131. The cubic root of 42392592 is about 348.6823709770.

The spelling of 42392592 in words is "forty-two million, three hundred ninety-two thousand, five hundred ninety-two".