8732000 has 96 divisors (see below), whose sum is σ = 22407840. Its totient is φ = 3340800.

The previous prime is 8731993. The next prime is 8732023. The reversal of 8732000 is 2378.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 10.

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, 147971 + ... + 148029.

It is an arithmetic number, because the mean of its divisors is an integer number (233415).

Almost surely, 2^8732000 is an apocalyptic number.

8732000 is a gapful number since it is divisible by the number (80) 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 8732000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11203920).

8732000 is an abundant number, since it is smaller than the sum of its proper divisors (13675840).

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

8732000 is a wasteful number, since it uses less digits than its factorization.

8732000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 8732000 is about 2954.9957698785. The cubic root of 8732000 is about 205.9228667770.

Adding to 8732000 its reverse (2378), we get a palindrome (8734378).

The spelling of 8732000 in words is "eight million, seven hundred thirty-two thousand".