97872 has 20 divisors (see below), whose sum is σ = 252960. Its totient is φ = 32608.

The previous prime is 97871. The next prime is 97879. The reversal of 97872 is 27879.

Added to its reverse (27879) it gives a triangular number (125751 = T₅₀₁).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97871) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 972 + ... + 1067.

It is an arithmetic number, because the mean of its divisors is an integer number (12648).

2⁹⁷⁸⁷² is an apocalyptic number.

It is an amenable number.

97872 is an abundant number, since it is smaller than the sum of its proper divisors (155088).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126480).

97872 is a wasteful number, since it uses less digits than its factorization.

97872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050 (or 2044 counting only the distinct ones).

The product of its digits is 7056, while the sum is 33.

The square root of 97872 is about 312.8450095495. The cubic root of 97872 is about 46.0842815273.

Adding to 97872 its reverse (27879), we get a triangular number (125751 = T₅₀₁).

It can be divided in two parts, 97 and 872, that added together give a palindrome (969).

The spelling of 97872 in words is "ninety-seven thousand, eight hundred seventy-two".