72807349 has 8 divisors (see below), whose sum is σ = 74699352. Its totient is φ = 70920960.

The previous prime is 72807347. The next prime is 72807367. The reversal of 72807349 is 94370827.

It can be written as a sum of positive squares in 4 ways, for example, as 21068100 + 51739249 = 4590^2 + 7193^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72807349 - 2¹ = 72807347 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72807347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40657 + ... + 42409.

It is an arithmetic number, because the mean of its divisors is an integer number (9337419).

Almost surely, 2^72807349 is an apocalyptic number.

It is an amenable number.

72807349 is a deficient number, since it is larger than the sum of its proper divisors (1892003).

72807349 is a wasteful number, since it uses less digits than its factorization.

72807349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2807.

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 72807349 is about 8532.7222502552. The cubic root of 72807349 is about 417.5659455753.

The spelling of 72807349 in words is "seventy-two million, eight hundred seven thousand, three hundred forty-nine".