10055712 has 96 divisors (see below), whose sum is σ = 28728000. Its totient is φ = 3068928.

The previous prime is 10055711. The next prime is 10055719. The reversal of 10055712 is 21755001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10055712² = 202234687653888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10055711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67414 + ... + 67562.

It is an arithmetic number, because the mean of its divisors is an integer number (299250).

Almost surely, 2^10055712 is an apocalyptic number.

10055712 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 10055712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14364000).

10055712 is an abundant number, since it is smaller than the sum of its proper divisors (18672288).

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

10055712 is a wasteful number, since it uses less digits than its factorization.

10055712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 10055712 is about 3171.0742659231. The cubic root of 10055712 is about 215.8428211800.

The spelling of 10055712 in words is "ten million, fifty-five thousand, seven hundred twelve".