10093272 has 64 divisors (see below), whose sum is σ = 29268480. Its totient is φ = 2840832.

The previous prime is 10093253. The next prime is 10093283. The reversal of 10093272 is 27239001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11853 + ... + 12675.

It is an arithmetic number, because the mean of its divisors is an integer number (457320).

Almost surely, 2^10093272 is an apocalyptic number.

10093272 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 10093272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14634240).

10093272 is an abundant number, since it is smaller than the sum of its proper divisors (19175208).

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

10093272 is a wasteful number, since it uses less digits than its factorization.

10093272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 10093272 is about 3176.9910292602. The cubic root of 10093272 is about 216.1112252956. Note that the first 3 decimals are identical.

The spelling of 10093272 in words is "ten million, ninety-three thousand, two hundred seventy-two".