87337872 has 80 divisors (see below), whose sum is σ = 256858560. Its totient is φ = 28396800.

The previous prime is 87337853. The next prime is 87337907. The reversal of 87337872 is 27873378.

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, 15247 + ... + 20177.

It is an arithmetic number, because the mean of its divisors is an integer number (3210732).

Almost surely, 2^87337872 is an apocalyptic number.

87337872 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87337872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128429280).

87337872 is an abundant number, since it is smaller than the sum of its proper divisors (169520688).

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

87337872 is a wasteful number, since it uses less digits than its factorization.

87337872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4989 (or 4977 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 87337872 is about 9345.4733427473. The cubic root of 87337872 is about 443.6776330578.

It can be divided in two parts, 87337 and 872, that added together give a square (88209 = 297²).

The spelling of 87337872 in words is "eighty-seven million, three hundred thirty-seven thousand, eight hundred seventy-two".