87205572 has 60 divisors (see below), whose sum is σ = 230926080. Its totient is φ = 28692144.

The previous prime is 87205561. The next prime is 87205579. The reversal of 87205572 is 27550278.

87205572 is a `hidden beast` number, since 87 + 2 + 0 + 5 + 572 = 666.

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 (87205579) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23893 + ... + 27299.

It is an arithmetic number, because the mean of its divisors is an integer number (3848768).

Almost surely, 2^87205572 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 87205572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115463040).

87205572 is an abundant number, since it is smaller than the sum of its proper divisors (143720508).

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

87205572 is a wasteful number, since it uses less digits than its factorization.

87205572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3502 (or 3491 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 87205572 is about 9338.3923669977. The cubic root of 87205572 is about 443.4534912147.

The spelling of 87205572 in words is "eighty-seven million, two hundred five thousand, five hundred seventy-two".