87472 has 40 divisors (see below), whose sum is σ = 214272. Its totient is φ = 33600.

The previous prime is 87443. The next prime is 87473. The reversal of 87472 is 27478.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nude number because it is divisible by every one of its digits.

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

It is a self number, because there is not a number n which added to its sum of digits gives 87472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87473) by changing a digit.

87472 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1197 + ... + 1267.

2⁸⁷⁴⁷² 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 87472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107136).

87472 is an abundant number, since it is smaller than the sum of its proper divisors (126800).

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

87472 is a wasteful number, since it uses less digits than its factorization.

87472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 91 counting only the distinct ones).

The product of its digits is 3136, while the sum is 28.

The square root of 87472 is about 295.7566567298. The cubic root of 87472 is about 44.3904640939.

It can be divided in two parts, 874 and 72, that added together give a triangular number (946 = T₄₃).

The spelling of 87472 in words is "eighty-seven thousand, four hundred seventy-two".