73087872 has 160 divisors (see below), whose sum is σ = 229979400. Its totient is φ = 20444160.

The previous prime is 73087853. The next prime is 73087907. The reversal of 73087872 is 27878037.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5622138 + ... + 5622150.

Almost surely, 2^73087872 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 73087872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114989700).

73087872 is an abundant number, since it is smaller than the sum of its proper divisors (156891528).

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

73087872 is an equidigital number, since it uses as much as digits as its factorization.

73087872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

The square root of 73087872 is about 8549.1445186054. The cubic root of 73087872 is about 418.1015450433.

The spelling of 73087872 in words is "seventy-three million, eighty-seven thousand, eight hundred seventy-two".