73654560 has 144 divisors (see below), whose sum is σ = 287292096. Its totient is φ = 16833024.

The previous prime is 73654549. The next prime is 73654589. The reversal of 73654560 is 6545637.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 6427 + ... + 13733.

It is an arithmetic number, because the mean of its divisors is an integer number (1995084).

Almost surely, 2^73654560 is an apocalyptic number.

73654560 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 73654560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143646048).

73654560 is an abundant number, since it is smaller than the sum of its proper divisors (213637536).

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

73654560 is a wasteful number, since it uses less digits than its factorization.

73654560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7335 (or 7324 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 73654560 is about 8582.2234881178. The cubic root of 73654560 is about 419.1793499336.

The spelling of 73654560 in words is "seventy-three million, six hundred fifty-four thousand, five hundred sixty".