42972960 has 48 divisors (see below), whose sum is σ = 135366336. Its totient is φ = 11459328.

The previous prime is 42972959. The next prime is 42972967. The reversal of 42972960 is 6927924.

42972960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (42972967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44284 + ... + 45243.

It is an arithmetic number, because the mean of its divisors is an integer number (2820132).

Almost surely, 2^42972960 is an apocalyptic number.

42972960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42972960 is an abundant number, since it is smaller than the sum of its proper divisors (92393376).

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

42972960 is a wasteful number, since it uses less digits than its factorization.

42972960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89545 (or 89537 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 42972960 is about 6555.3764193981. The cubic root of 42972960 is about 350.2663550716.

The spelling of 42972960 in words is "forty-two million, nine hundred seventy-two thousand, nine hundred sixty".