8732724 has 96 divisors (see below), whose sum is σ = 27396096. Its totient is φ = 2090880.

The previous prime is 8732719. The next prime is 8732743. The reversal of 8732724 is 4272378.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11649 + ... + 12375.

It is an arithmetic number, because the mean of its divisors is an integer number (285376).

Almost surely, 2^8732724 is an apocalyptic number.

8732724 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8732724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13698048).

8732724 is an abundant number, since it is smaller than the sum of its proper divisors (18663372).

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

8732724 is a wasteful number, since it uses less digits than its factorization.

8732724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 763 counting only the distinct ones).

The product of its digits is 18816, while the sum is 33.

The square root of 8732724 is about 2955.1182717448. The cubic root of 8732724 is about 205.9285578762.

8732724 divided by its sum of digits (33) gives a triangular number (264628 = T₇₂₇).

The spelling of 8732724 in words is "eight million, seven hundred thirty-two thousand, seven hundred twenty-four".