160582072 has 64 divisors (see below), whose sum is σ = 372096000. Its totient is φ = 63421056.

The previous prime is 160582063. The next prime is 160582087. The reversal of 160582072 is 270285061.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37329 + ... + 41407.

It is an arithmetic number, because the mean of its divisors is an integer number (5814000).

Almost surely, 2^160582072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 160582072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186048000).

160582072 is an abundant number, since it is smaller than the sum of its proper divisors (211513928).

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

160582072 is a wasteful number, since it uses less digits than its factorization.

160582072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4148 (or 4144 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 160582072 is about 12672.0981688117. The cubic root of 160582072 is about 543.5410543120.

The spelling of 160582072 in words is "one hundred sixty million, five hundred eighty-two thousand, seventy-two".