72846 has 32 divisors (see below), whose sum is σ = 172800. Its totient is φ = 22680.

The previous prime is 72823. The next prime is 72859. The reversal of 72846 is 64827.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 991 + ... + 1061.

It is an arithmetic number, because the mean of its divisors is an integer number (5400).

2⁷²⁸⁴⁶ is an apocalyptic number.

72846 is the 171-st heptagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86400).

72846 is an abundant number, since it is smaller than the sum of its proper divisors (99954).

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

72846 is a wasteful number, since it uses less digits than its factorization.

72846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 95 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 72846 is about 269.8999814746. The cubic root of 72846 is about 41.7639823128.

The spelling of 72846 in words is "seventy-two thousand, eight hundred forty-six".