72365648 has 10 divisors (see below), whose sum is σ = 140208474. Its totient is φ = 36182816.

The previous prime is 72365641. The next prime is 72365669. The reversal of 72365648 is 84656327.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 60031504 + 12334144 = 7748^2 + 3512^2 .

It is a super-3 number, since 3×72365648³ (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 (72365641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2261411 + ... + 2261442.

Almost surely, 2^72365648 is an apocalyptic number.

It is an amenable number.

72365648 is a deficient number, since it is larger than the sum of its proper divisors (67842826).

72365648 is a wasteful number, since it uses less digits than its factorization.

72365648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4522861 (or 4522855 counting only the distinct ones).

The product of its digits is 241920, while the sum is 41.

The square root of 72365648 is about 8506.8001034467. The cubic root of 72365648 is about 416.7198151581.

The spelling of 72365648 in words is "seventy-two million, three hundred sixty-five thousand, six hundred forty-eight".