10201872 has 40 divisors (see below), whose sum is σ = 26489376. Its totient is φ = 3383296.

The previous prime is 10201871. The next prime is 10201897. The reversal of 10201872 is 27810201.

It is not an unprimeable number, because it can be changed into a prime (10201871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11923 + ... + 12749.

Almost surely, 2^10201872 is an apocalyptic number.

10201872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10201872 is an abundant number, since it is smaller than the sum of its proper divisors (16287504).

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

10201872 is a wasteful number, since it uses less digits than its factorization.

10201872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 10201872 is about 3194.0369440568. The cubic root of 10201872 is about 216.8835550723.

The spelling of 10201872 in words is "ten million, two hundred one thousand, eight hundred seventy-two".