87252256 has 144 divisors (see below), whose sum is σ = 225820224. Its totient is φ = 32306688.

The previous prime is 87252251. The next prime is 87252281. The reversal of 87252256 is 65225278.

It is a super-2 number, since 2×87252256² = 15225912354179072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87252251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1051191 + ... + 1051273.

It is an arithmetic number, because the mean of its divisors is an integer number (1568196).

Almost surely, 2^87252256 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 87252256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112910112).

87252256 is an abundant number, since it is smaller than the sum of its proper divisors (138567968).

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

87252256 is a wasteful number, since it uses less digits than its factorization.

87252256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 124 counting only the distinct ones).

The product of its digits is 67200, while the sum is 37.

The square root of 87252256 is about 9340.8916062654. The cubic root of 87252256 is about 443.5326088262.

The spelling of 87252256 in words is "eighty-seven million, two hundred fifty-two thousand, two hundred fifty-six".