10006972 has 24 divisors (see below), whose sum is σ = 18239760. Its totient is φ = 4798080.

The previous prime is 10006957. The next prime is 10006973. The reversal of 10006972 is 27960001.

10006972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006973) 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, 32443 + ... + 32749.

It is an arithmetic number, because the mean of its divisors is an integer number (759990).

Almost surely, 2^10006972 is an apocalyptic number.

It is an amenable number.

10006972 is a deficient number, since it is larger than the sum of its proper divisors (8232788).

10006972 is a wasteful number, since it uses less digits than its factorization.

10006972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 10006972 is about 3163.3798380846. The cubic root of 10006972 is about 215.4935264338.

Adding to 10006972 its reverse (27960001), we get a palindrome (37966973).

The spelling of 10006972 in words is "ten million, six thousand, nine hundred seventy-two".