72146777 has 2 divisors, whose sum is σ = 72146778. Its totient is φ = 72146776.

The previous prime is 72146747. The next prime is 72146807. The reversal of 72146777 is 77764127.

It is a balanced prime because it is at equal distance from previous prime (72146747) and next prime (72146807).

It can be written as a sum of positive squares in only one way, i.e., 70744921 + 1401856 = 8411^2 + 1184^2 .

It is a cyclic number.

It is not a de Polignac number, because 72146777 - 2²² = 67952473 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72146747) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36073388 + 36073389.

It is an arithmetic number, because the mean of its divisors is an integer number (36073389).

Almost surely, 2^72146777 is an apocalyptic number.

It is an amenable number.

72146777 is a deficient number, since it is larger than the sum of its proper divisors (1).

72146777 is an equidigital number, since it uses as much as digits as its factorization.

72146777 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 72146777 is about 8493.9258885394. The cubic root of 72146777 is about 416.2992657528.

The spelling of 72146777 in words is "seventy-two million, one hundred forty-six thousand, seven hundred seventy-seven".