42972880 has 40 divisors (see below), whose sum is σ = 100207872. Its totient is φ = 17138304.

The previous prime is 42972871. The next prime is 42972907. The reversal of 42972880 is 8827924.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 38409 + ... + 39511.

Almost surely, 2^42972880 is an apocalyptic number.

42972880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42972880 is an abundant number, since it is smaller than the sum of its proper divisors (57234992).

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

42972880 is a wasteful number, since it uses less digits than its factorization.

42972880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 42972880 is about 6555.3703175336. The cubic root of 42972880 is about 350.2661377154.

The spelling of 42972880 in words is "forty-two million, nine hundred seventy-two thousand, eight hundred eighty".