10277872 has 40 divisors (see below), whose sum is σ = 22677120. Its totient is φ = 4466880.

The previous prime is 10277857. The next prime is 10277887. The reversal of 10277872 is 27877201.

It is an interprime number because it is at equal distance from previous prime (10277857) and next prime (10277887).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2779 + ... + 5317.

It is an arithmetic number, because the mean of its divisors is an integer number (566928).

Almost surely, 2^10277872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10277872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11338560).

10277872 is an abundant number, since it is smaller than the sum of its proper divisors (12399248).

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

10277872 is a wasteful number, since it uses less digits than its factorization.

10277872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581 (or 2575 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 34.

The square root of 10277872 is about 3205.9120387185. The cubic root of 10277872 is about 217.4207894059.

The spelling of 10277872 in words is "ten million, two hundred seventy-seven thousand, eight hundred seventy-two".