73258560 has 224 divisors, whose sum is σ = 264566400. Its totient is φ = 19077120.

The previous prime is 73258543. The next prime is 73258583. The reversal of 73258560 is 6585237.

73258560 is a `hidden beast` number, since 73 + 2 + 585 + 6 + 0 = 666.

It is a super-2 number, since 2×73258560² = 10733633226547200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 526971 + ... + 527109.

It is an arithmetic number, because the mean of its divisors is an integer number (1181100).

Almost surely, 2^73258560 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 73258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132283200).

73258560 is an abundant number, since it is smaller than the sum of its proper divisors (191307840).

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

73258560 is a wasteful number, since it uses less digits than its factorization.

73258560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 73258560 is about 8559.1214502424. The cubic root of 73258560 is about 418.4267674174.

The spelling of 73258560 in words is "seventy-three million, two hundred fifty-eight thousand, five hundred sixty".