87135372 has 96 divisors (see below), whose sum is σ = 239500800. Its totient is φ = 27349056.

The previous prime is 87135359. The next prime is 87135379. The reversal of 87135372 is 27353178.

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

It is not an unprimeable number, because it can be changed into a prime (87135379) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 134353 + ... + 134999.

It is an arithmetic number, because the mean of its divisors is an integer number (2494800).

Almost surely, 2^87135372 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 87135372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119750400).

87135372 is an abundant number, since it is smaller than the sum of its proper divisors (152365428).

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

87135372 is a wasteful number, since it uses less digits than its factorization.

87135372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 724 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 87135372 is about 9334.6329333295. The cubic root of 87135372 is about 443.3344667404.

The spelling of 87135372 in words is "eighty-seven million, one hundred thirty-five thousand, three hundred seventy-two".