87729360 has 120 divisors (see below), whose sum is σ = 284710944. Its totient is φ = 22344960.

The previous prime is 87729359. The next prime is 87729377. The reversal of 87729360 is 6392778.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126615 + ... + 127305.

Almost surely, 2^87729360 is an apocalyptic number.

87729360 is a gapful number since it is divisible by the number (80) 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 87729360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142355472).

87729360 is an abundant number, since it is smaller than the sum of its proper divisors (196981584).

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

87729360 is a wasteful number, since it uses less digits than its factorization.

87729360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 87729360 is about 9366.3952511091. The cubic root of 87729360 is about 444.3395665497.

The spelling of 87729360 in words is "eighty-seven million, seven hundred twenty-nine thousand, three hundred sixty".