72354131 has 2 divisors, whose sum is σ = 72354132. Its totient is φ = 72354130.

The previous prime is 72354097. The next prime is 72354133. The reversal of 72354131 is 13145327.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 72354131 - 2¹⁰ = 72353107 is a prime.

It is a super-2 number, since 2×72354131² = 10470240545530322, which contains 22 as substring.

Together with 72354133, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72354131.

It is not a weakly prime, because it can be changed into another prime (72354133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36177065 + 36177066.

It is an arithmetic number, because the mean of its divisors is an integer number (36177066).

Almost surely, 2^72354131 is an apocalyptic number.

72354131 is a deficient number, since it is larger than the sum of its proper divisors (1).

72354131 is an equidigital number, since it uses as much as digits as its factorization.

72354131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2520, while the sum is 26.

The square root of 72354131 is about 8506.1231474744. The cubic root of 72354131 is about 416.6977069853.

Adding to 72354131 its reverse (13145327), we get a palindrome (85499458).

The spelling of 72354131 in words is "seventy-two million, three hundred fifty-four thousand, one hundred thirty-one".