161566272 has 336 divisors, whose sum is σ = 588385920. Its totient is φ = 42550272.

The previous prime is 161566267. The next prime is 161566277. The reversal of 161566272 is 272665161.

It is a happy number.

161566272 is a `hidden beast` number, since 16 + 15 + 6 + 627 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (161566267) and next prime (161566277).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×161566272² = 52207320495955968, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161566277) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4366638 + ... + 4366674.

Almost surely, 2^161566272 is an apocalyptic number.

161566272 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 161566272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294192960).

161566272 is an abundant number, since it is smaller than the sum of its proper divisors (426819648).

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

161566272 is a wasteful number, since it uses less digits than its factorization.

161566272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 68 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 161566272 is about 12710.8721966669. The cubic root of 161566272 is about 544.6492392717.

The spelling of 161566272 in words is "one hundred sixty-one million, five hundred sixty-six thousand, two hundred seventy-two".