87459072 has 72 divisors (see below), whose sum is σ = 234193344. Its totient is φ = 28975104.

The previous prime is 87459061. The next prime is 87459079. The reversal of 87459072 is 27095478.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87459079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201768 + ... + 202200.

Almost surely, 2^87459072 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 87459072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117096672).

87459072 is an abundant number, since it is smaller than the sum of its proper divisors (146734272).

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

87459072 is a wasteful number, since it uses less digits than its factorization.

87459072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 87459072 is about 9351.9555174306. The cubic root of 87459072 is about 443.8827707714.

The spelling of 87459072 in words is "eighty-seven million, four hundred fifty-nine thousand, seventy-two".