72461777 has 2 divisors, whose sum is σ = 72461778. Its totient is φ = 72461776.

The previous prime is 72461761. The next prime is 72461821. The reversal of 72461777 is 77716427.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55413136 + 17048641 = 7444^2 + 4129^2 .

It is a cyclic number.

It is not a de Polignac number, because 72461777 - 2⁴ = 72461761 is a prime.

It is not a weakly prime, because it can be changed into another prime (72461747) 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, 36230888 + 36230889.

It is an arithmetic number, because the mean of its divisors is an integer number (36230889).

Almost surely, 2^72461777 is an apocalyptic number.

It is an amenable number.

72461777 is a deficient number, since it is larger than the sum of its proper divisors (1).

72461777 is an equidigital number, since it uses as much as digits as its factorization.

72461777 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 115248, while the sum is 41.

The square root of 72461777 is about 8512.4483552031. The cubic root of 72461777 is about 416.9042541173.

The spelling of 72461777 in words is "seventy-two million, four hundred sixty-one thousand, seven hundred seventy-seven".