161772 has 48 divisors (see below), whose sum is σ = 437472. Its totient is φ = 46080.

The previous prime is 161771. The next prime is 161773. The reversal of 161772 is 277161.

It is an interprime number because it is at equal distance from previous prime (161771) and next prime (161773).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (588) is a multiple of the sum of its prime factors (98).

It is not an unprimeable number, because it can be changed into a prime (161771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2622 + ... + 2682.

It is an arithmetic number, because the mean of its divisors is an integer number (9114).

2¹⁶¹⁷⁷² is an apocalyptic number.

161772 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 161772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218736).

161772 is an abundant number, since it is smaller than the sum of its proper divisors (275700).

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

161772 is a wasteful number, since it uses less digits than its factorization.

161772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 96 counting only the distinct ones).

The product of its digits is 588, while the sum is 24.

The square root of 161772 is about 402.2089009458. The cubic root of 161772 is about 54.4880314879.

The spelling of 161772 in words is "one hundred sixty-one thousand, seven hundred seventy-two".