10467972 has 36 divisors (see below), whose sum is σ = 26573820. Its totient is φ = 3474432.

The previous prime is 10467953. The next prime is 10467983. The reversal of 10467972 is 27976401.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 125316 + 10342656 = 354^2 + 3216^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a plaindrome in base 13.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10804 + ... + 11732.

Almost surely, 2^10467972 is an apocalyptic number.

10467972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10467972 is an abundant number, since it is smaller than the sum of its proper divisors (16105848).

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

10467972 is a wasteful number, since it uses less digits than its factorization.

10467972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 10467972 is about 3235.4245471035. The cubic root of 10467972 is about 218.7530838205.

The spelling of 10467972 in words is "ten million, four hundred sixty-seven thousand, nine hundred seventy-two".