10129872 has 20 divisors (see below), whose sum is σ = 26168960. Its totient is φ = 3376608.

The previous prime is 10129871. The next prime is 10129919. The reversal of 10129872 is 27892101.

It is a super-2 number, since 2×10129872² = 205228613472768, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10129871) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 105472 + ... + 105567.

It is an arithmetic number, because the mean of its divisors is an integer number (1308448).

Almost surely, 2^10129872 is an apocalyptic number.

10129872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10129872 is an abundant number, since it is smaller than the sum of its proper divisors (16039088).

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

10129872 is a wasteful number, since it uses less digits than its factorization.

10129872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211050 (or 211044 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 10129872 is about 3182.7459842092. The cubic root of 10129872 is about 216.3721294383.

The spelling of 10129872 in words is "ten million, one hundred twenty-nine thousand, eight hundred seventy-two".