73087560 has 384 divisors, whose sum is σ = 308206080. Its totient is φ = 14598144.

The previous prime is 73087541. The next prime is 73087571. The reversal of 73087560 is 6578037.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 753432 + ... + 753528.

It is an arithmetic number, because the mean of its divisors is an integer number (802620).

Almost surely, 2^73087560 is an apocalyptic number.

73087560 is a gapful number since it is divisible by the number (70) 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 73087560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154103040).

73087560 is an abundant number, since it is smaller than the sum of its proper divisors (235118520).

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

73087560 is a wasteful number, since it uses less digits than its factorization.

73087560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 150 counting only the distinct ones).

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

The square root of 73087560 is about 8549.1262711461. The cubic root of 73087560 is about 418.1009501071.

The spelling of 73087560 in words is "seventy-three million, eighty-seven thousand, five hundred sixty".