72120641 has 2 divisors, whose sum is σ = 72120642. Its totient is φ = 72120640.

The previous prime is 72120577. The next prime is 72120667. The reversal of 72120641 is 14602127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71487025 + 633616 = 8455^2 + 796^2 .

It is a cyclic number.

It is not a de Polignac number, because 72120641 - 2⁶ = 72120577 is a prime.

It is not a weakly prime, because it can be changed into another prime (72120241) 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, 36060320 + 36060321.

It is an arithmetic number, because the mean of its divisors is an integer number (36060321).

Almost surely, 2^72120641 is an apocalyptic number.

It is an amenable number.

72120641 is a deficient number, since it is larger than the sum of its proper divisors (1).

72120641 is an equidigital number, since it uses as much as digits as its factorization.

72120641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 72120641 is about 8492.3872379914. The cubic root of 72120641 is about 416.2489899485.

Adding to 72120641 its reverse (14602127), we get a palindrome (86722768).

It can be divided in two parts, 72120 and 641, that multiplied together give a triangular number (46228920 = T₉₆₁₅).

The spelling of 72120641 in words is "seventy-two million, one hundred twenty thousand, six hundred forty-one".