10627872 has 48 divisors (see below), whose sum is σ = 28123200. Its totient is φ = 3514112.

The previous prime is 10627871. The next prime is 10627951. The reversal of 10627872 is 27872601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10627872² = 225903326496768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10627871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13933 + ... + 14675.

It is an arithmetic number, because the mean of its divisors is an integer number (585900).

Almost surely, 2^10627872 is an apocalyptic number.

10627872 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 10627872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14061600).

10627872 is an abundant number, since it is smaller than the sum of its proper divisors (17495328).

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

10627872 is a wasteful number, since it uses less digits than its factorization.

10627872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 897 counting only the distinct ones).

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

The square root of 10627872 is about 3260.0417175245. The cubic root of 10627872 is about 219.8612899722.

The spelling of 10627872 in words is "ten million, six hundred twenty-seven thousand, eight hundred seventy-two".