160713972 has 72 divisors (see below), whose sum is σ = 430387776. Its totient is φ = 50459904.

The previous prime is 160713941. The next prime is 160714003. The reversal of 160713972 is 279317061.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (160713941) and next prime (160714003).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 54028 + ... + 56924.

It is an arithmetic number, because the mean of its divisors is an integer number (5977608).

Almost surely, 2^160713972 is an apocalyptic number.

160713972 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 160713972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215193888).

160713972 is an abundant number, since it is smaller than the sum of its proper divisors (269673804).

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

160713972 is a wasteful number, since it uses less digits than its factorization.

160713972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 160713972 is about 12677.3014478634. The cubic root of 160713972 is about 543.6898327401.

The spelling of 160713972 in words is "one hundred sixty million, seven hundred thirteen thousand, nine hundred seventy-two".