73146560 has 56 divisors (see below), whose sum is σ = 175290480. Its totient is φ = 29072384.

The previous prime is 73146553. The next prime is 73146581. The reversal of 73146560 is 6564137.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56642 + ... + 57918.

Almost surely, 2^73146560 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 73146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87645240).

73146560 is an abundant number, since it is smaller than the sum of its proper divisors (102143920).

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

73146560 is a wasteful number, since it uses less digits than its factorization.

73146560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 73146560 is about 8552.5762200638. The cubic root of 73146560 is about 418.2134239731.

The spelling of 73146560 in words is "seventy-three million, one hundred forty-six thousand, five hundred sixty".