87132672 has 200 divisors, whose sum is σ = 285196032. Its totient is φ = 26265600.

The previous prime is 87132641. The next prime is 87132673. The reversal of 87132672 is 27623178.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (87132673) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 456097 + ... + 456287.

Almost surely, 2^87132672 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 87132672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142598016).

87132672 is an abundant number, since it is smaller than the sum of its proper divisors (198063360).

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

87132672 is a wasteful number, since it uses less digits than its factorization.

87132672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 207 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 87132672 is about 9334.4883094897. The cubic root of 87132672 is about 443.3298875996.

Adding to 87132672 its product of digits (28224), we get a square (87160896 = 9336²).

The spelling of 87132672 in words is "eighty-seven million, one hundred thirty-two thousand, six hundred seventy-two".