72163761 has 16 divisors (see below), whose sum is σ = 99855360. Its totient is φ = 46322640.

The previous prime is 72163747. The next prime is 72163787. The reversal of 72163761 is 16736127.

It is not a de Polignac number, because 72163761 - 2⁷ = 72163633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72163361) 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 in 15 ways as a sum of consecutive naturals, for example, 5220 + ... + 13098.

It is an arithmetic number, because the mean of its divisors is an integer number (6240960).

Almost surely, 2^72163761 is an apocalyptic number.

72163761 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

It is an amenable number.

72163761 is a deficient number, since it is larger than the sum of its proper divisors (27691599).

72163761 is a wasteful number, since it uses less digits than its factorization.

72163761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7996.

The product of its digits is 10584, while the sum is 33.

The square root of 72163761 is about 8494.9256029703. The cubic root of 72163761 is about 416.3319300531.

Adding to 72163761 its reverse (16736127), we get a palindrome (88899888).

The spelling of 72163761 in words is "seventy-two million, one hundred sixty-three thousand, seven hundred sixty-one".