73455200 has 144 divisors (see below), whose sum is σ = 220923360. Its totient is φ = 23224320.

The previous prime is 73455167. The next prime is 73455229. The reversal of 73455200 is 255437.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 73455200.

It is a congruent number.

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, 72296 + ... + 73304.

It is an arithmetic number, because the mean of its divisors is an integer number (1534190).

Almost surely, 2^73455200 is an apocalyptic number.

73455200 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 73455200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110461680).

73455200 is an abundant number, since it is smaller than the sum of its proper divisors (147468160).

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

73455200 is a wasteful number, since it uses less digits than its factorization.

73455200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 26.

The square root of 73455200 is about 8570.6009124215. The cubic root of 73455200 is about 418.8008121307.

The spelling of 73455200 in words is "seventy-three million, four hundred fifty-five thousand, two hundred".