72354321 has 12 divisors (see below), whose sum is σ = 112551348. Its totient is φ = 44525664.

The previous prime is 72354319. The next prime is 72354361. The reversal of 72354321 is 12345327.

It can be written as a sum of positive squares in 2 ways, for example, as 42771600 + 29582721 = 6540^2 + 5439^2 .

It is not a de Polignac number, because 72354321 - 2¹ = 72354319 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72354311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 309090 + ... + 309323.

It is an arithmetic number, because the mean of its divisors is an integer number (9379279).

Almost surely, 2^72354321 is an apocalyptic number.

It is an amenable number.

72354321 is a deficient number, since it is larger than the sum of its proper divisors (40197027).

72354321 is a wasteful number, since it uses less digits than its factorization.

72354321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618432 (or 618429 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 72354321 is about 8506.1343158923. The cubic root of 72354321 is about 416.6980717307.

Adding to 72354321 its reverse (12345327), we get a palindrome (84699648).

The spelling of 72354321 in words is "seventy-two million, three hundred fifty-four thousand, three hundred twenty-one".