84732 has 24 divisors (see below), whose sum is σ = 206976. Its totient is φ = 26928.

The previous prime is 84731. The next prime is 84737. The reversal of 84732 is 23748.

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 84732.

It is not an unprimeable number, because it can be changed into a prime (84731) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123 + ... + 429.

It is an arithmetic number, because the mean of its divisors is an integer number (8624).

2⁸⁴⁷³² 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 84732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103488).

84732 is an abundant number, since it is smaller than the sum of its proper divisors (122244).

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

84732 is a wasteful number, since it uses less digits than its factorization.

84732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 335 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 84732 is about 291.0876156761. The cubic root of 84732 is about 43.9220382530.

The spelling of 84732 in words is "eighty-four thousand, seven hundred thirty-two".