73564100 has 72 divisors (see below), whose sum is σ = 171004680. Its totient is φ = 27371520.

The previous prime is 73564093. The next prime is 73564111. The reversal of 73564100 is 146537.

It can be written as a sum of positive squares in 12 ways, for example, as 2869636 + 70694464 = 1694^2 + 8408^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 73564100.

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, 185102 + ... + 185498.

It is an arithmetic number, because the mean of its divisors is an integer number (2375065).

Almost surely, 2^73564100 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 73564100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85502340).

73564100 is an abundant number, since it is smaller than the sum of its proper divisors (97440580).

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

73564100 is a wasteful number, since it uses less digits than its factorization.

73564100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 73564100 is about 8576.9516729430. The cubic root of 73564100 is about 419.0076724064.

The spelling of 73564100 in words is "seventy-three million, five hundred sixty-four thousand, one hundred".