73084140 has 96 divisors (see below), whose sum is σ = 232989120. Its totient is φ = 19008000.

The previous prime is 73084117. The next prime is 73084159. The reversal of 73084140 is 4148037.

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 31 ways as a sum of consecutive naturals, for example, 20490 + ... + 23790.

It is an arithmetic number, because the mean of its divisors is an integer number (2426970).

Almost surely, 2^73084140 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 73084140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116494560).

73084140 is an abundant number, since it is smaller than the sum of its proper divisors (159904980).

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

73084140 is a wasteful number, since it uses less digits than its factorization.

73084140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3360 (or 3352 counting only the distinct ones).

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

The square root of 73084140 is about 8548.9262483659. The cubic root of 73084140 is about 418.0944285798.

The spelling of 73084140 in words is "seventy-three million, eighty-four thousand, one hundred forty".