42972160 has 176 divisors, whose sum is σ = 129697920. Its totient is φ = 13271040.

The previous prime is 42972151. The next prime is 42972161. The reversal of 42972160 is 6127924.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42972161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394186 + ... + 394294.

It is an arithmetic number, because the mean of its divisors is an integer number (736920).

Almost surely, 2^42972160 is an apocalyptic number.

42972160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64848960).

42972160 is an abundant number, since it is smaller than the sum of its proper divisors (86725760).

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

42972160 is a wasteful number, since it uses less digits than its factorization.

42972160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 42972160 is about 6555.3154004975. The cubic root of 42972160 is about 350.2641814969.

The spelling of 42972160 in words is "forty-two million, nine hundred seventy-two thousand, one hundred sixty".