87272280 has 96 divisors (see below), whose sum is σ = 285714000. Its totient is φ = 23102208.

The previous prime is 87272249. The next prime is 87272299. The reversal of 87272280 is 8227278.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52827 + ... + 54453.

Almost surely, 2^87272280 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 87272280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142857000).

87272280 is an abundant number, since it is smaller than the sum of its proper divisors (198441720).

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

87272280 is a wasteful number, since it uses less digits than its factorization.

87272280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 87272280 is about 9341.9633910651. The cubic root of 87272280 is about 443.5665358101.

The spelling of 87272280 in words is "eighty-seven million, two hundred seventy-two thousand, two hundred eighty".