73272400 has 60 divisors (see below), whose sum is σ = 178238592. Its totient is φ = 28942720.

The previous prime is 73272391. The next prime is 73272403. The reversal of 73272400 is 427237.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73272403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32097 + ... + 34303.

Almost surely, 2^73272400 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 73272400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89119296).

73272400 is an abundant number, since it is smaller than the sum of its proper divisors (104966192).

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

73272400 is a wasteful number, since it uses less digits than its factorization.

73272400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2308 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 25.

The square root of 73272400 is about 8559.9299062551. The cubic root of 73272400 is about 418.4531154729.

Adding to 73272400 its reverse (427237), we get a palindrome (73699637).

The spelling of 73272400 in words is "seventy-three million, two hundred seventy-two thousand, four hundred".