87672728 has 48 divisors (see below), whose sum is σ = 194616240. Its totient is φ = 36780480.

The previous prime is 87672709. The next prime is 87672731. The reversal of 87672728 is 82727678.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9101 + ... + 16067.

It is an arithmetic number, because the mean of its divisors is an integer number (4054505).

Almost surely, 2^87672728 is an apocalyptic number.

87672728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87672728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97308120).

87672728 is an abundant number, since it is smaller than the sum of its proper divisors (106943512).

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

87672728 is a wasteful number, since it uses less digits than its factorization.

87672728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7008 (or 6993 counting only the distinct ones).

The product of its digits is 526848, while the sum is 47.

The square root of 87672728 is about 9363.3716149686. The cubic root of 87672728 is about 444.2439343502.

The spelling of 87672728 in words is "eighty-seven million, six hundred seventy-two thousand, seven hundred twenty-eight".