87382720 has 56 divisors (see below), whose sum is σ = 220333824. Its totient is φ = 32894976.

The previous prime is 87382709. The next prime is 87382721. The reversal of 87382720 is 2728378.

It is a self number, because there is not a number n which added to its sum of digits gives 87382720.

It is not an unprimeable number, because it can be changed into a prime (87382721) 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, 2592 + ... + 13471.

Almost surely, 2^87382720 is an apocalyptic number.

87382720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87382720 is an abundant number, since it is smaller than the sum of its proper divisors (132951104).

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

87382720 is a wasteful number, since it uses less digits than its factorization.

87382720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16097 (or 16087 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 87382720 is about 9347.8724852236. The cubic root of 87382720 is about 443.7535628888.

The spelling of 87382720 in words is "eighty-seven million, three hundred eighty-two thousand, seven hundred twenty".