72006363 has 24 divisors (see below), whose sum is σ = 122194800. Its totient is φ = 40282560.

The previous prime is 72006349. The next prime is 72006419. The reversal of 72006363 is 36360027.

72006363 is a `hidden beast` number, since 7 + 20 + 0 + 636 + 3 = 666.

It is not a de Polignac number, because 72006363 - 2⁹ = 72005851 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72006343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26688 + ... + 29261.

It is an arithmetic number, because the mean of its divisors is an integer number (5091450).

Almost surely, 2^72006363 is an apocalyptic number.

72006363 is a deficient number, since it is larger than the sum of its proper divisors (50188437).

72006363 is a wasteful number, since it uses less digits than its factorization.

72006363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55979 (or 55976 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 72006363 is about 8485.6563093258. The cubic root of 72006363 is about 416.0290194099.

The spelling of 72006363 in words is "seventy-two million, six thousand, three hundred sixty-three".