72737249 has 12 divisors (see below), whose sum is σ = 81138876. Its totient is φ = 64817088.

The previous prime is 72737243. The next prime is 72737257. The reversal of 72737249 is 94273727.

It can be written as a sum of positive squares in 6 ways, for example, as 15840400 + 56896849 = 3980^2 + 7543^2 .

It is not a de Polignac number, because 72737249 - 2⁴ = 72737233 is a prime.

It is a super-3 number, since 3×72737249³ (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 (72737243) 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 11 ways as a sum of consecutive naturals, for example, 7607 + ... + 14259.

It is an arithmetic number, because the mean of its divisors is an integer number (6761573).

Almost surely, 2^72737249 is an apocalyptic number.

It is an amenable number.

72737249 is a deficient number, since it is larger than the sum of its proper divisors (8401627).

72737249 is a wasteful number, since it uses less digits than its factorization.

72737249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6724 (or 6695 counting only the distinct ones).

The product of its digits is 148176, while the sum is 41.

The square root of 72737249 is about 8528.6135450025. The cubic root of 72737249 is about 417.4318896386.

The spelling of 72737249 in words is "seventy-two million, seven hundred thirty-seven thousand, two hundred forty-nine".