73854090 has 96 divisors (see below), whose sum is σ = 200918016. Its totient is φ = 18800640.

The previous prime is 73854089. The next prime is 73854101. The reversal of 73854090 is 9045837.

73854090 = T₂₅₇ + T₂₅₈ + ... + T₇₇₁.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287242 + ... + 287498.

It is an arithmetic number, because the mean of its divisors is an integer number (2092896).

Almost surely, 2^73854090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73854090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100459008).

73854090 is an abundant number, since it is smaller than the sum of its proper divisors (127063926).

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

73854090 is a wasteful number, since it uses less digits than its factorization.

73854090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 73854090 is about 8593.8402358899. The cubic root of 73854090 is about 419.5575272130.

The spelling of 73854090 in words is "seventy-three million, eight hundred fifty-four thousand, ninety".