42712992 has 72 divisors (see below), whose sum is σ = 138823776. Its totient is φ = 12203136.

The previous prime is 42712981. The next prime is 42712997. The reversal of 42712992 is 29921724.

It is a tau number, because it is divible by the number of its divisors (72).

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 not an unprimeable number, because it can be changed into a prime (42712997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8578 + ... + 12609.

It is an arithmetic number, because the mean of its divisors is an integer number (1928108).

Almost surely, 2^42712992 is an apocalyptic number.

42712992 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42712992 is an abundant number, since it is smaller than the sum of its proper divisors (96110784).

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

42712992 is a wasteful number, since it uses less digits than its factorization.

42712992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21210 (or 21199 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 42712992 is about 6535.5177300655. The cubic root of 42712992 is about 349.5586054841.

The spelling of 42712992 in words is "forty-two million, seven hundred twelve thousand, nine hundred ninety-two".