73681400 has 96 divisors (see below), whose sum is σ = 195456240. Its totient is φ = 25589760.

The previous prime is 73681381. The next prime is 73681423. The reversal of 73681400 is 418637.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43367 + ... + 45033.

Almost surely, 2^73681400 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 73681400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97728120).

73681400 is an abundant number, since it is smaller than the sum of its proper divisors (121774840).

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

73681400 is a wasteful number, since it uses less digits than its factorization.

73681400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 73681400 is about 8583.7870430248. The cubic root of 73681400 is about 419.2302605965.

The spelling of 73681400 in words is "seventy-three million, six hundred eighty-one thousand, four hundred".