87017472 has 72 divisors (see below), whose sum is σ = 251375670. Its totient is φ = 28999680.

The previous prime is 87017471. The next prime is 87017503. The reversal of 87017472 is 27471078.

It can be written as a sum of positive squares in only one way, i.e., 72999936 + 14017536 = 8544^2 + 3744^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87017471) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16072 + ... + 20792.

Almost surely, 2^87017472 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 87017472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125687835).

87017472 is an abundant number, since it is smaller than the sum of its proper divisors (164358198).

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

87017472 is a wasteful number, since it uses less digits than its factorization.

87017472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4749 (or 4726 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 87017472 is about 9328.3156035803. The cubic root of 87017472 is about 443.1344227372.

The spelling of 87017472 in words is "eighty-seven million, seventeen thousand, four hundred seventy-two".