42272973 has 12 divisors (see below), whose sum is σ = 61370400. Its totient is φ = 28039176.

The previous prime is 42272963. The next prime is 42273001. The reversal of 42272973 is 37927224.

It is not a de Polignac number, because 42272973 - 2²² = 38078669 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42272963) 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, 10011 + ... + 13592.

It is an arithmetic number, because the mean of its divisors is an integer number (5114200).

Almost surely, 2^42272973 is an apocalyptic number.

It is an amenable number.

42272973 is a deficient number, since it is larger than the sum of its proper divisors (19097427).

42272973 is a wasteful number, since it uses less digits than its factorization.

42272973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23808 (or 23805 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 42272973 is about 6501.7669136935. The cubic root of 42272973 is about 348.3541034956.

It can be divided in two parts, 42 and 272973, that multiplied together give a triangular number (11464866 = T₄₇₈₈).

The spelling of 42272973 in words is "forty-two million, two hundred seventy-two thousand, nine hundred seventy-three".