42972640 has 48 divisors (see below), whose sum is σ = 101923920. Its totient is φ = 17121280.

The previous prime is 42972613. The next prime is 42972667. The reversal of 42972640 is 4627924.

It is an interprime number because it is at equal distance from previous prime (42972613) and next prime (42972667).

It is a junction number, because it is equal to n+sod(n) for n = 42972596 and 42972605.

It is a congruent number.

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, 66720 + ... + 67360.

It is an arithmetic number, because the mean of its divisors is an integer number (2123415).

Almost surely, 2^42972640 is an apocalyptic number.

42972640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42972640 is an abundant number, since it is smaller than the sum of its proper divisors (58951280).

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

42972640 is a wasteful number, since it uses less digits than its factorization.

42972640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 42972640 is about 6555.3520119060. The cubic root of 42972640 is about 350.2654856450.

The spelling of 42972640 in words is "forty-two million, nine hundred seventy-two thousand, six hundred forty".