87101472 has 144 divisors (see below), whose sum is σ = 259731360. Its totient is φ = 25399296.

The previous prime is 87101461. The next prime is 87101503. The reversal of 87101472 is 27410178.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1643398 + ... + 1643450.

It is an arithmetic number, because the mean of its divisors is an integer number (1803690).

Almost surely, 2^87101472 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 87101472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129865680).

87101472 is an abundant number, since it is smaller than the sum of its proper divisors (172629888).

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

87101472 is a wasteful number, since it uses less digits than its factorization.

87101472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 87101472 is about 9332.8169380954. The cubic root of 87101472 is about 443.2769662194.

The spelling of 87101472 in words is "eighty-seven million, one hundred one thousand, four hundred seventy-two".