160509972 has 96 divisors (see below), whose sum is σ = 440294400. Its totient is φ = 44566272.

The previous prime is 160509953. The next prime is 160509997. The reversal of 160509972 is 279905061.

It is a super-2 number, since 2×160509972² = 51526902222881568, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 160509972.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 688768 + ... + 689000.

It is an arithmetic number, because the mean of its divisors is an integer number (4586400).

Almost surely, 2^160509972 is an apocalyptic number.

160509972 is a gapful number since it is divisible by the number (12) 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 160509972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220147200).

160509972 is an abundant number, since it is smaller than the sum of its proper divisors (279784428).

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

160509972 is a wasteful number, since it uses less digits than its factorization.

160509972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 160509972 is about 12669.2530166541. The cubic root of 160509972 is about 543.4596936798.

The spelling of 160509972 in words is "one hundred sixty million, five hundred nine thousand, nine hundred seventy-two".