10672272 has 60 divisors (see below), whose sum is σ = 32170684. Its totient is φ = 3283200.

The previous prime is 10672271. The next prime is 10672273. The reversal of 10672272 is 27227601.

It is an interprime number because it is at equal distance from previous prime (10672271) and next prime (10672273).

It can be written as a sum of positive squares in 2 ways, for example, as 5308416 + 5363856 = 2304^2 + 2316^2 .

It is a super-2 number, since 2×10672272² = 227794779283968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10672271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 979 + ... + 4722.

Almost surely, 2^10672272 is an apocalyptic number.

10672272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10672272 is an abundant number, since it is smaller than the sum of its proper divisors (21498412).

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

10672272 is a wasteful number, since it uses less digits than its factorization.

10672272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5728 (or 5719 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 10672272 is about 3266.8443489092. The cubic root of 10672272 is about 220.1670356800.

Adding to 10672272 its reverse (27227601), we get a palindrome (37899873).

It can be divided in two parts, 106722 and 72, that multiplied together give a square (7683984 = 2772²).

The spelling of 10672272 in words is "ten million, six hundred seventy-two thousand, two hundred seventy-two".