87072 has 24 divisors (see below), whose sum is σ = 228816. Its totient is φ = 28992.

The previous prime is 87071. The next prime is 87083. The reversal of 87072 is 27078.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (87071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 358 + ... + 549.

It is an arithmetic number, because the mean of its divisors is an integer number (9534).

2⁸⁷⁰⁷² is an apocalyptic number.

It is an amenable number.

87072 is an abundant number, since it is smaller than the sum of its proper divisors (141744).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114408).

87072 is a wasteful number, since it uses less digits than its factorization.

87072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 87072 is about 295.0796502641. The cubic root of 87072 is about 44.3226964261.

The spelling of 87072 in words is "eighty-seven thousand, seventy-two".