73265400 has 288 divisors, whose sum is σ = 276232320. Its totient is φ = 17280000.

The previous prime is 73265399. The next prime is 73265407. The reversal of 73265400 is 456237.

It is a happy number.

73265400 is a `hidden beast` number, since 7 + 3 + 2 + 654 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73265407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 725350 + ... + 725450.

It is an arithmetic number, because the mean of its divisors is an integer number (959140).

Almost surely, 2^73265400 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 73265400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138116160).

73265400 is an abundant number, since it is smaller than the sum of its proper divisors (202966920).

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

73265400 is a wasteful number, since it uses less digits than its factorization.

73265400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 73265400 is about 8559.5210146363. The cubic root of 73265400 is about 418.4397895590.

The spelling of 73265400 in words is "seventy-three million, two hundred sixty-five thousand, four hundred".