87240672 has 96 divisors (see below), whose sum is σ = 261424800. Its totient is φ = 28283904.

The previous prime is 87240667. The next prime is 87240707. The reversal of 87240672 is 27604278.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×87240672³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30604 + ... + 33332.

It is an arithmetic number, because the mean of its divisors is an integer number (2723175).

Almost surely, 2^87240672 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 87240672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130712400).

87240672 is an abundant number, since it is smaller than the sum of its proper divisors (174184128).

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

87240672 is a wasteful number, since it uses less digits than its factorization.

87240672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 87240672 is about 9340.2715163961. The cubic root of 87240672 is about 443.5129794994.

The spelling of 87240672 in words is "eighty-seven million, two hundred forty thousand, six hundred seventy-two".