72007963 has 8 divisors (see below), whose sum is σ = 75577248. Its totient is φ = 68475264.

The previous prime is 72007961. The next prime is 72007997. The reversal of 72007963 is 36970027.

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 72007963 - 2¹ = 72007961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72007961) 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 7 ways as a sum of consecutive naturals, for example, 5070 + ... + 13027.

It is an arithmetic number, because the mean of its divisors is an integer number (9447156).

Almost surely, 2^72007963 is an apocalyptic number.

72007963 is a deficient number, since it is larger than the sum of its proper divisors (3569285).

72007963 is a wasteful number, since it uses less digits than its factorization.

72007963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18293.

The product of its (nonzero) digits is 15876, while the sum is 34.

The square root of 72007963 is about 8485.7505855404. The cubic root of 72007963 is about 416.0321008112.

The spelling of 72007963 in words is "seventy-two million, seven thousand, nine hundred sixty-three".