72468761 has 2 divisors, whose sum is σ = 72468762. Its totient is φ = 72468760.

The previous prime is 72468749. The next prime is 72468763. The reversal of 72468761 is 16786427.

72468761 = 6019² + 6020².

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36240400 + 36228361 = 6020^2 + 6019^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72468761 is a prime.

It is a Sophie Germain prime.

Together with 72468763, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (72468763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36234380 + 36234381.

It is an arithmetic number, because the mean of its divisors is an integer number (36234381).

Almost surely, 2^72468761 is an apocalyptic number.

72468761 is the 6020-th centered square number.

It is an amenable number.

72468761 is a deficient number, since it is larger than the sum of its proper divisors (1).

72468761 is an equidigital number, since it uses as much as digits as its factorization.

72468761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 112896, while the sum is 41.

The square root of 72468761 is about 8512.8585680722. The cubic root of 72468761 is about 416.9176476879.

The spelling of 72468761 in words is "seventy-two million, four hundred sixty-eight thousand, seven hundred sixty-one".