10147872 has 48 divisors (see below), whose sum is σ = 30445632. Its totient is φ = 2899200.

The previous prime is 10147867. The next prime is 10147877. The reversal of 10147872 is 27874101.

It is an interprime number because it is at equal distance from previous prime (10147867) and next prime (10147877).

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

It is a super-2 number, since 2×10147872² = 205958612256768, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10147877) 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, 6879 + ... + 8222.

It is an arithmetic number, because the mean of its divisors is an integer number (634284).

Almost surely, 2^10147872 is an apocalyptic number.

10147872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10147872 is an abundant number, since it is smaller than the sum of its proper divisors (20297760).

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

10147872 is a wasteful number, since it uses less digits than its factorization.

10147872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15121 (or 15113 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 10147872 is about 3185.5724760237. The cubic root of 10147872 is about 216.5002124567.

The spelling of 10147872 in words is "ten million, one hundred forty-seven thousand, eight hundred seventy-two".