87361572 has 48 divisors (see below), whose sum is σ = 223292160. Its totient is φ = 26460672.

The previous prime is 87361559. The next prime is 87361583. The reversal of 87361572 is 27516378.

It is a super-2 number, since 2×87361572² = 15264088524622368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 87361572.

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, 1468 + ... + 13299.

It is an arithmetic number, because the mean of its divisors is an integer number (4651920).

Almost surely, 2^87361572 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 87361572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111646080).

87361572 is an abundant number, since it is smaller than the sum of its proper divisors (135930588).

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

87361572 is a wasteful number, since it uses less digits than its factorization.

87361572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14820 (or 14818 counting only the distinct ones).

The product of its digits is 70560, while the sum is 39.

The square root of 87361572 is about 9346.7412502968. The cubic root of 87361572 is about 443.7177615408.

The spelling of 87361572 in words is "eighty-seven million, three hundred sixty-one thousand, five hundred seventy-two".