72727601 has 4 divisors (see below), whose sum is σ = 72746100. Its totient is φ = 72709104.

The previous prime is 72727597. The next prime is 72727609. The reversal of 72727601 is 10672727.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 37503376 + 35224225 = 6124^2 + 5935^2 .

It is a cyclic number.

It is not a de Polignac number, because 72727601 - 2² = 72727597 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72727609) 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 in 3 ways as a sum of consecutive naturals, for example, 746 + ... + 12083.

It is an arithmetic number, because the mean of its divisors is an integer number (18186525).

Almost surely, 2^72727601 is an apocalyptic number.

It is an amenable number.

72727601 is a deficient number, since it is larger than the sum of its proper divisors (18499).

72727601 is a wasteful number, since it uses less digits than its factorization.

72727601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18498.

The product of its (nonzero) digits is 8232, while the sum is 32.

The square root of 72727601 is about 8528.0479008974. The cubic root of 72727601 is about 417.4134325161.

The spelling of 72727601 in words is "seventy-two million, seven hundred twenty-seven thousand, six hundred one".