87601272 has 128 divisors (see below), whose sum is σ = 256608000. Its totient is φ = 24627200.

The previous prime is 87601249. The next prime is 87601301. The reversal of 87601272 is 27210678.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 587854 + ... + 588002.

It is an arithmetic number, because the mean of its divisors is an integer number (2004750).

Almost surely, 2^87601272 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 87601272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128304000).

87601272 is an abundant number, since it is smaller than the sum of its proper divisors (169006728).

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

87601272 is a wasteful number, since it uses less digits than its factorization.

87601272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 87601272 is about 9359.5551176325. Note that the first 3 decimals coincide. The cubic root of 87601272 is about 444.1232106722.

The spelling of 87601272 in words is "eighty-seven million, six hundred one thousand, two hundred seventy-two".