87702272 has 72 divisors (see below), whose sum is σ = 202356000. Its totient is φ = 37158912.

The previous prime is 87702257. The next prime is 87702281. The reversal of 87702272 is 27220778.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195104 + ... + 195552.

It is an arithmetic number, because the mean of its divisors is an integer number (2810500).

Almost surely, 2^87702272 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 87702272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101178000).

87702272 is an abundant number, since it is smaller than the sum of its proper divisors (114653728).

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

87702272 is a wasteful number, since it uses less digits than its factorization.

87702272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 35.

The square root of 87702272 is about 9364.9491189221. The cubic root of 87702272 is about 444.2938292610.

The spelling of 87702272 in words is "eighty-seven million, seven hundred two thousand, two hundred seventy-two".