92872 has 32 divisors (see below), whose sum is σ = 201600. Its totient is φ = 39744.

The previous prime is 92867. The next prime is 92893. The reversal of 92872 is 27829.

It is a self number, because there is not a number n which added to its sum of digits gives 92872.

It is a congruent number.

It is an unprimeable number.

92872 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1953 + ... + 1999.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2⁹²⁸⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100800).

92872 is an abundant number, since it is smaller than the sum of its proper divisors (108728).

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

92872 is a wasteful number, since it uses less digits than its factorization.

92872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 81 counting only the distinct ones).

The product of its digits is 2016, while the sum is 28.

The square root of 92872 is about 304.7490771110. The cubic root of 92872 is about 45.2857536172.

It can be divided in two parts, 928 and 72, that added together give a cube (1000 = 10³).

The spelling of 92872 in words is "ninety-two thousand, eight hundred seventy-two".