87544072 has 128 divisors (see below), whose sum is σ = 220631040. Its totient is φ = 31553280.

The previous prime is 87544019. The next prime is 87544091. The reversal of 87544072 is 27044578.

It is a Harshad number since it is a multiple of its sum of digits (37).

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, 524133 + ... + 524299.

It is an arithmetic number, because the mean of its divisors is an integer number (1723680).

Almost surely, 2^87544072 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 87544072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110315520).

87544072 is an abundant number, since it is smaller than the sum of its proper divisors (133086968).

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

87544072 is a wasteful number, since it uses less digits than its factorization.

87544072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 37.

The square root of 87544072 is about 9356.4989178645. The cubic root of 87544072 is about 444.0265249419.

The spelling of 87544072 in words is "eighty-seven million, five hundred forty-four thousand, seventy-two".