72823452 has 72 divisors (see below), whose sum is σ = 186001200. Its totient is φ = 22164480.

The previous prime is 72823423. The next prime is 72823463. The reversal of 72823452 is 25432827.

It is a super-2 number, since 2×72823452² = 10606510322392608, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 302052 + ... + 302292.

It is an arithmetic number, because the mean of its divisors is an integer number (2583350).

Almost surely, 2^72823452 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 72823452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93000600).

72823452 is an abundant number, since it is smaller than the sum of its proper divisors (113177748).

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

72823452 is a wasteful number, since it uses less digits than its factorization.

72823452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 408 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 72823452 is about 8533.6658008150. The cubic root of 72823452 is about 417.5967280391.

The spelling of 72823452 in words is "seventy-two million, eight hundred twenty-three thousand, four hundred fifty-two".