73382400 has 540 divisors, whose sum is σ = 328990662. Its totient is φ = 15482880.

The previous prime is 73382399. The next prime is 73382423. The reversal of 73382400 is 428337.

It can be written as a sum of positive squares in 3 ways, for example, as 40755456 + 32626944 = 6384^2 + 5712^2 .

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, 5644794 + ... + 5644806.

Almost surely, 2^73382400 is an apocalyptic number.

73382400 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 73382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164495331).

73382400 is an abundant number, since it is smaller than the sum of its proper divisors (255608262).

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

73382400 is a wasteful number, since it uses less digits than its factorization.

73382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 30 counting only the distinct ones).

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

The square root of 73382400 is about 8566.3527828359. The cubic root of 73382400 is about 418.6624113234.

The spelling of 73382400 in words is "seventy-three million, three hundred eighty-two thousand, four hundred".