10678272 has 104 divisors (see below), whose sum is σ = 31453440. Its totient is φ = 3194880.

The previous prime is 10678219. The next prime is 10678273. The reversal of 10678272 is 27287601.

It is a super-2 number, since 2×10678272² = 228050985811968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10678273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135129 + ... + 135207.

Almost surely, 2^10678272 is an apocalyptic number.

10678272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10678272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15726720).

10678272 is an abundant number, since it is smaller than the sum of its proper divisors (20775168).

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

10678272 is an equidigital number, since it uses as much as digits as its factorization.

10678272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 10678272 is about 3267.7625372723. The cubic root of 10678272 is about 220.2082875875.

It can be divided in two parts, 1067 and 8272, that added together give a palindrome (9339).

The spelling of 10678272 in words is "ten million, six hundred seventy-eight thousand, two hundred seventy-two".