160306272 has 144 divisors (see below), whose sum is σ = 525837312. Its totient is φ = 45377280.

The previous prime is 160306261. The next prime is 160306309. The reversal of 160306272 is 272603061.

It is a happy number.

160306272 is a `hidden beast` number, since 1 + 6 + 0 + 30 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 263793 + ... + 264399.

It is an arithmetic number, because the mean of its divisors is an integer number (3651648).

Almost surely, 2^160306272 is an apocalyptic number.

160306272 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 160306272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262918656).

160306272 is an abundant number, since it is smaller than the sum of its proper divisors (365531040).

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

160306272 is a wasteful number, since it uses less digits than its factorization.

160306272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 160306272 is about 12661.2113164578. The cubic root of 160306272 is about 543.2296984102.

The spelling of 160306272 in words is "one hundred sixty million, three hundred six thousand, two hundred seventy-two".