73400320 has 88 divisors (see below), whose sum is σ = 201326544. Its totient is φ = 25165824.

The previous prime is 73400311. The next prime is 73400329. The reversal of 73400320 is 2300437.

It is an interprime number because it is at equal distance from previous prime (73400311) and next prime (73400329).

It is a super-2 number, since 2×73400320² = 10775213952204800, which contains 22 as substring.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73400329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10485757 + ... + 10485763.

Almost surely, 2^73400320 is an apocalyptic number.

73400320 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 73400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100663272).

73400320 is an abundant number, since it is smaller than the sum of its proper divisors (127926224).

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

73400320 is an frugal number, since it uses more digits than its factorization.

73400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 19.

The square root of 73400320 is about 8567.3986717089. The cubic root of 73400320 is about 418.6964877041.

Adding to 73400320 its reverse (2300437), we get a palindrome (75700757).

The spelling of 73400320 in words is "seventy-three million, four hundred thousand, three hundred twenty".