87832472 has 128 divisors (see below), whose sum is σ = 220631040. Its totient is φ = 31795200.

The previous prime is 87832463. The next prime is 87832477. The reversal of 87832472 is 27423878.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87832477) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 581597 + ... + 581747.

It is an arithmetic number, because the mean of its divisors is an integer number (1723680).

Almost surely, 2^87832472 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 87832472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110315520).

87832472 is an abundant number, since it is smaller than the sum of its proper divisors (132798568).

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

87832472 is a wasteful number, since it uses less digits than its factorization.

87832472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 237 counting only the distinct ones).

The product of its digits is 150528, while the sum is 41.

The square root of 87832472 is about 9371.8979934696. The cubic root of 87832472 is about 444.5135820407.

The spelling of 87832472 in words is "eighty-seven million, eight hundred thirty-two thousand, four hundred seventy-two".