72876 has 12 divisors (see below), whose sum is σ = 170072. Its totient is φ = 24288.

The previous prime is 72871. The next prime is 72883. The reversal of 72876 is 67827.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×72876² = 10621822752, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72876.

It is not an unprimeable number, because it can be changed into a prime (72871) by changing a digit.

72876 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 3 ways as a sum of consecutive naturals, for example, 3025 + ... + 3048.

2⁷²⁸⁷⁶ is an apocalyptic number.

It is an amenable number.

72876 is an abundant number, since it is smaller than the sum of its proper divisors (97196).

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 (85036).

72876 is a wasteful number, since it uses less digits than its factorization.

72876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6080 (or 6078 counting only the distinct ones).

The product of its digits is 4704, while the sum is 30.

The square root of 72876 is about 269.9555518970. The cubic root of 72876 is about 41.7697147141.

The spelling of 72876 in words is "seventy-two thousand, eight hundred seventy-six".