10372968 has 32 divisors (see below), whose sum is σ = 28814400. Its totient is φ = 3457584.

The previous prime is 10372963. The next prime is 10372997. The reversal of 10372968 is 86927301.

10372968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10372963) 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, 23796 + ... + 24227.

It is an arithmetic number, because the mean of its divisors is an integer number (900450).

Almost surely, 2^10372968 is an apocalyptic number.

10372968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10372968 is an abundant number, since it is smaller than the sum of its proper divisors (18441432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10372968 is a wasteful number, since it uses less digits than its factorization.

10372968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48038 (or 48028 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 10372968 is about 3220.7092386616. The cubic root of 10372968 is about 218.0892937232.

It can be divided in two parts, 1037 and 2968, that added together give a triangular number (4005 = T₈₉).

The spelling of 10372968 in words is "ten million, three hundred seventy-two thousand, nine hundred sixty-eight".