10275072 has 72 divisors (see below), whose sum is σ = 28992096. Its totient is φ = 3219456.

The previous prime is 10275071. The next prime is 10275073. The reversal of 10275072 is 27057201.

It is an interprime number because it is at equal distance from previous prime (10275071) and next prime (10275073).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10275071) 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, 12663 + ... + 13449.

It is an arithmetic number, because the mean of its divisors is an integer number (402668).

Almost surely, 2^10275072 is an apocalyptic number.

10275072 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 10275072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14496048).

10275072 is an abundant number, since it is smaller than the sum of its proper divisors (18717024).

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

10275072 is an equidigital number, since it uses as much as digits as its factorization.

10275072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 10275072 is about 3205.4753157683. The cubic root of 10275072 is about 217.4010436356.

The spelling of 10275072 in words is "ten million, two hundred seventy-five thousand, seventy-two".