42288072 has 32 divisors (see below), whose sum is σ = 111285600. Its totient is φ = 13353984.

The previous prime is 42288047. The next prime is 42288089. The reversal of 42288072 is 27088224.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45913 + ... + 46824.

It is an arithmetic number, because the mean of its divisors is an integer number (3477675).

Almost surely, 2^42288072 is an apocalyptic number.

It is an amenable number.

42288072 is an abundant number, since it is smaller than the sum of its proper divisors (68997528).

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

42288072 is a wasteful number, since it uses less digits than its factorization.

42288072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92765 (or 92761 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 42288072 is about 6502.9279559288. The cubic root of 42288072 is about 348.3955734320.

The spelling of 42288072 in words is "forty-two million, two hundred eighty-eight thousand, seventy-two".