73483200 has 378 divisors, whose sum is σ = 309952136. Its totient is φ = 16796160.

The previous prime is 73483181. The next prime is 73483211. The reversal of 73483200 is 238437.

It is a tau number, because it is divible by the number of its divisors (378).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 10497597 + ... + 10497603.

Almost surely, 2^73483200 is an apocalyptic number.

73483200 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 73483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154976068).

73483200 is an abundant number, since it is smaller than the sum of its proper divisors (236468936).

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

73483200 is an frugal number, since it uses more digits than its factorization.

73483200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 73483200 is about 8572.2342478493. The cubic root of 73483200 is about 418.8540188611.

Multiplying 73483200 by its product of nonzero digits (4032), we get a square (296284262400 = 544320²).

73483200 divided by its product of nonzero digits (4032) gives a square (18225 = 135²).

The spelling of 73483200 in words is "seventy-three million, four hundred eighty-three thousand, two hundred".