10165272 has 64 divisors (see below), whose sum is σ = 28277760. Its totient is φ = 3024000.

The previous prime is 10165271. The next prime is 10165273. The reversal of 10165272 is 27256101.

It is an interprime number because it is at equal distance from previous prime (10165271) and next prime (10165273).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

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

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 (10165271) 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, 9147 + ... + 10197.

It is an arithmetic number, because the mean of its divisors is an integer number (441840).

Almost surely, 2^10165272 is an apocalyptic number.

10165272 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 10165272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14138880).

10165272 is an abundant number, since it is smaller than the sum of its proper divisors (18112488).

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

10165272 is a wasteful number, since it uses less digits than its factorization.

10165272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 10165272 is about 3188.3023696005. The cubic root of 10165272 is about 216.6238821503.

The spelling of 10165272 in words is "ten million, one hundred sixty-five thousand, two hundred seventy-two".