72891364 has 48 divisors (see below), whose sum is σ = 160682368. Its totient is φ = 28159488.

The previous prime is 72891361. The next prime is 72891367. The reversal of 72891364 is 46319827.

It is an interprime number because it is at equal distance from previous prime (72891361) and next prime (72891367).

It is not an unprimeable number, because it can be changed into a prime (72891361) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13324 + ... + 17980.

It is a vampire number, since it can be written as 7826 ⋅ 9314 (with its own digits).

Almost surely, 2^72891364 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 72891364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80341184).

72891364 is an abundant number, since it is smaller than the sum of its proper divisors (87791004).

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

72891364 is a wasteful number, since it uses less digits than its factorization.

72891364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4724 (or 4722 counting only the distinct ones).

The product of its digits is 72576, while the sum is 40.

The square root of 72891364 is about 8537.6439372932. The cubic root of 72891364 is about 417.7264985872.

The spelling of 72891364 in words is "seventy-two million, eight hundred ninety-one thousand, three hundred sixty-four".