73730400 has 144 divisors (see below), whose sum is σ = 247984128. Its totient is φ = 19008000.

The previous prime is 73730329. The next prime is 73730401. The reversal of 73730400 is 403737.

It is a super-3 number, since 3×73730400³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73730401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73905 + ... + 74895.

It is an arithmetic number, because the mean of its divisors is an integer number (1722112).

Almost surely, 2^73730400 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 73730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123992064).

73730400 is an abundant number, since it is smaller than the sum of its proper divisors (174253728).

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

73730400 is a wasteful number, since it uses less digits than its factorization.

73730400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 24.

The square root of 73730400 is about 8586.6407867105. The cubic root of 73730400 is about 419.3231729223.

The spelling of 73730400 in words is "seventy-three million, seven hundred thirty thousand, four hundred".