73062400 has 72 divisors (see below), whose sum is σ = 181277460. Its totient is φ = 29204480.

The previous prime is 73062389. The next prime is 73062401. The reversal of 73062400 is 426037.

It is a super-2 number, since 2×73062400² = 10676228587520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73062401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50487 + ... + 51913.

Almost surely, 2^73062400 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 73062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90638730).

73062400 is an abundant number, since it is smaller than the sum of its proper divisors (108215060).

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

73062400 is a wasteful number, since it uses less digits than its factorization.

73062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 73062400 is about 8547.6546490836. The cubic root of 73062400 is about 418.0529682653.

Adding to 73062400 its reverse (426037), we get a palindrome (73488437).

The spelling of 73062400 in words is "seventy-three million, sixty-two thousand, four hundred".