87192288 has 72 divisors (see below), whose sum is σ = 257159448. Its totient is φ = 29061504.

The previous prime is 87192277. The next prime is 87192293. The reversal of 87192288 is 88229178.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2170 + ... + 13382.

It is an arithmetic number, because the mean of its divisors is an integer number (3571659).

Almost surely, 2^87192288 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 87192288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128579724).

87192288 is an abundant number, since it is smaller than the sum of its proper divisors (169967160).

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

87192288 is a wasteful number, since it uses less digits than its factorization.

87192288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11238 (or 11218 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The square root of 87192288 is about 9337.6810825815. The cubic root of 87192288 is about 443.4309730232.

The spelling of 87192288 in words is "eighty-seven million, one hundred ninety-two thousand, two hundred eighty-eight".