73418400 has 360 divisors, whose sum is σ = 294918624. Its totient is φ = 17625600.

The previous prime is 73418357. The next prime is 73418431. The reversal of 73418400 is 481437.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×73418400² = 10780522917120000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 712749 + ... + 712851.

Almost surely, 2^73418400 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 73418400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147459312).

73418400 is an abundant number, since it is smaller than the sum of its proper divisors (221500224).

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

73418400 is a wasteful number, since it uses less digits than its factorization.

73418400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 73418400 is about 8568.4537694966. The cubic root of 73418400 is about 418.7308627179.

Adding to 73418400 its reverse (481437), we get a palindrome (73899837).

The spelling of 73418400 in words is "seventy-three million, four hundred eighteen thousand, four hundred".