72615833 has 2 divisors, whose sum is σ = 72615834. Its totient is φ = 72615832.

The previous prime is 72615821. The next prime is 72615839. The reversal of 72615833 is 33851627.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70341769 + 2274064 = 8387^2 + 1508^2 .

It is a cyclic number.

It is not a de Polignac number, because 72615833 - 2⁴ = 72615817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72615793 and 72615802.

It is not a weakly prime, because it can be changed into another prime (72615839) 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, 36307916 + 36307917.

It is an arithmetic number, because the mean of its divisors is an integer number (36307917).

Almost surely, 2^72615833 is an apocalyptic number.

It is an amenable number.

72615833 is a deficient number, since it is larger than the sum of its proper divisors (1).

72615833 is an equidigital number, since it uses as much as digits as its factorization.

72615833 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 30240, while the sum is 35.

The square root of 72615833 is about 8521.4924162379. The cubic root of 72615833 is about 417.1994954716.

The spelling of 72615833 in words is "seventy-two million, six hundred fifteen thousand, eight hundred thirty-three".