72290394 has 80 divisors (see below), whose sum is σ = 178770240. Its totient is φ = 21651840.

The previous prime is 72290381. The next prime is 72290401. The reversal of 72290394 is 49309227.

It is a super-3 number, since 3×72290394³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 201187 + ... + 201545.

It is an arithmetic number, because the mean of its divisors is an integer number (2234628).

Almost surely, 2^72290394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72290394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89385120).

72290394 is an abundant number, since it is smaller than the sum of its proper divisors (106479846).

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

72290394 is a wasteful number, since it uses less digits than its factorization.

72290394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 72290394 is about 8502.3757856260. The cubic root of 72290394 is about 416.5753142306.

The spelling of 72290394 in words is "seventy-two million, two hundred ninety thousand, three hundred ninety-four".