87622752 has 96 divisors (see below), whose sum is σ = 265676544. Its totient is φ = 24768000.

The previous prime is 87622751. The next prime is 87622757. The reversal of 87622752 is 25722678.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 87622752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87622751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67227 + ... + 68517.

It is an arithmetic number, because the mean of its divisors is an integer number (2767464).

Almost surely, 2^87622752 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 87622752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132838272).

87622752 is an abundant number, since it is smaller than the sum of its proper divisors (178053792).

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

87622752 is a wasteful number, since it uses less digits than its factorization.

87622752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1404 counting only the distinct ones).

The product of its digits is 94080, while the sum is 39.

The square root of 87622752 is about 9360.7025377372. The cubic root of 87622752 is about 444.1595076601.

The spelling of 87622752 in words is "eighty-seven million, six hundred twenty-two thousand, seven hundred fifty-two".