73420400 has 90 divisors (see below), whose sum is σ = 183220416. Its totient is φ = 28272000.

The previous prime is 73420379. The next prime is 73420421. The reversal of 73420400 is 402437.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (73420379) and next prime (73420421).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 384305 + ... + 384495.

Almost surely, 2^73420400 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 73420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91610208).

73420400 is an abundant number, since it is smaller than the sum of its proper divisors (109800016).

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

73420400 is a wasteful number, since it uses less digits than its factorization.

73420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 73420400 is about 8568.5704758729. The cubic root of 73420400 is about 418.7346649170.

Adding to 73420400 its reverse (402437), we get a palindrome (73822837).

The spelling of 73420400 in words is "seventy-three million, four hundred twenty thousand, four hundred".