72797249 has 16 divisors (see below), whose sum is σ = 85224960. Its totient is φ = 60889920.

The previous prime is 72797243. The next prime is 72797261. The reversal of 72797249 is 94279727.

It is not a de Polignac number, because 72797249 - 2⁸ = 72796993 is a prime.

It is a super-4 number, since 4×72797249⁴ (a number of 33 digits) contains 4444 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72797243) 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, 88259 + ... + 89079.

It is an arithmetic number, because the mean of its divisors is an integer number (5326560).

Almost surely, 2^72797249 is an apocalyptic number.

It is an amenable number.

72797249 is a deficient number, since it is larger than the sum of its proper divisors (12427711).

72797249 is a wasteful number, since it uses less digits than its factorization.

72797249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120.

The product of its digits is 444528, while the sum is 47.

The square root of 72797249 is about 8532.1303904711. The cubic root of 72797249 is about 417.5466361185.

The spelling of 72797249 in words is "seventy-two million, seven hundred ninety-seven thousand, two hundred forty-nine".