10072963 has 8 divisors (see below), whose sum is σ = 10272528. Its totient is φ = 9875424.

The previous prime is 10072957. The next prime is 10072967. The reversal of 10072963 is 36927001.

10072963 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10072963 - 2¹⁷ = 9941891 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10072967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12645 + ... + 13417.

It is an arithmetic number, because the mean of its divisors is an integer number (1284066).

Almost surely, 2^10072963 is an apocalyptic number.

10072963 is a deficient number, since it is larger than the sum of its proper divisors (199565).

10072963 is an equidigital number, since it uses as much as digits as its factorization.

10072963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013.

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 10072963 is about 3173.7931564612. The cubic root of 10072963 is about 215.9661798329.

Adding to 10072963 its reverse (36927001), we get a palindrome (46999964).

The spelling of 10072963 in words is "ten million, seventy-two thousand, nine hundred sixty-three".