72712845 has 12 divisors (see below), whose sum is σ = 126035676. Its totient is φ = 38780160.

The previous prime is 72712837. The next prime is 72712847. The reversal of 72712845 is 54821727.

It can be written as a sum of positive squares in 2 ways, for example, as 57244356 + 15468489 = 7566^2 + 3933^2 .

It is not a de Polignac number, because 72712845 - 2³ = 72712837 is a prime.

It is a super-3 number, since 3×72712845³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72712847) 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 11 ways as a sum of consecutive naturals, for example, 807876 + ... + 807965.

It is an arithmetic number, because the mean of its divisors is an integer number (10502973).

Almost surely, 2^72712845 is an apocalyptic number.

It is an amenable number.

72712845 is a deficient number, since it is larger than the sum of its proper divisors (53322831).

72712845 is a wasteful number, since it uses less digits than its factorization.

72712845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615852 (or 1615849 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 72712845 is about 8527.1827117753. The cubic root of 72712845 is about 417.3852003679.

The spelling of 72712845 in words is "seventy-two million, seven hundred twelve thousand, eight hundred forty-five".