73254564 has 72 divisors (see below), whose sum is σ = 201834080. Its totient is φ = 22972032.

The previous prime is 73254541. The next prime is 73254569. The reversal of 73254564 is 46545237.

73254564 is a `hidden beast` number, since 73 + 25 + 4 + 564 = 666.

It is a super-2 number, since 2×73254564² = 10732462293660192, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (73254569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30039 + ... + 32385.

Almost surely, 2^73254564 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 73254564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100917040).

73254564 is an abundant number, since it is smaller than the sum of its proper divisors (128579516).

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

73254564 is a wasteful number, since it uses less digits than its factorization.

73254564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2394 (or 2369 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 73254564 is about 8558.8880118857. Note that the first 3 decimals coincide. The cubic root of 73254564 is about 418.4191593701.

The spelling of 73254564 in words is "seventy-three million, two hundred fifty-four thousand, five hundred sixty-four".