72406261 has 2 divisors, whose sum is σ = 72406262. Its totient is φ = 72406260.

The previous prime is 72406249. The next prime is 72406289. The reversal of 72406261 is 16260427.

It is an a-pointer prime, because the next prime (72406289) can be obtained adding 72406261 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70980625 + 1425636 = 8425^2 + 1194^2 .

It is a cyclic number.

It is not a de Polignac number, because 72406261 - 2¹³ = 72398069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72406211) 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 as a sum of consecutive naturals, namely, 36203130 + 36203131.

It is an arithmetic number, because the mean of its divisors is an integer number (36203131).

Almost surely, 2^72406261 is an apocalyptic number.

It is an amenable number.

72406261 is a deficient number, since it is larger than the sum of its proper divisors (1).

72406261 is an equidigital number, since it uses as much as digits as its factorization.

72406261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 72406261 is about 8509.1868589190. The cubic root of 72406261 is about 416.7977576498.

Adding to 72406261 its reverse (16260427), we get a palindrome (88666688).

The spelling of 72406261 in words is "seventy-two million, four hundred six thousand, two hundred sixty-one".