10267972 has 48 divisors (see below), whose sum is σ = 21873600. Its totient is φ = 4152960.

The previous prime is 10267937. The next prime is 10267973. The reversal of 10267972 is 27976201.

It is not an unprimeable number, because it can be changed into a prime (10267973) 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 15 ways as a sum of consecutive naturals, for example, 16279 + ... + 16897.

It is an arithmetic number, because the mean of its divisors is an integer number (455700).

Almost surely, 2^10267972 is an apocalyptic number.

It is an amenable number.

10267972 is an abundant number, since it is smaller than the sum of its proper divisors (11605628).

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

10267972 is a wasteful number, since it uses less digits than its factorization.

10267972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 10267972 is about 3204.3676443255. The cubic root of 10267972 is about 217.3509579176.

It can be divided in two parts, 1026 and 7972, that added together give a palindrome (8998).

The spelling of 10267972 in words is "ten million, two hundred sixty-seven thousand, nine hundred seventy-two".