73564400 has 240 divisors, whose sum is σ = 227318784. Its totient is φ = 22256640.

The previous prime is 73564367. The next prime is 73564411. The reversal of 73564400 is 446537.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1565177 + ... + 1565223.

Almost surely, 2^73564400 is an apocalyptic number.

73564400 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 73564400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113659392).

73564400 is an abundant number, since it is smaller than the sum of its proper divisors (153754384).

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

73564400 is a wasteful number, since it uses less digits than its factorization.

73564400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 73564400 is about 8576.9691616561. The cubic root of 73564400 is about 419.0082419873.

The spelling of 73564400 in words is "seventy-three million, five hundred sixty-four thousand, four hundred".