10269072 has 80 divisors (see below), whose sum is σ = 32170560. Its totient is φ = 3110400.

The previous prime is 10269043. The next prime is 10269073. The reversal of 10269072 is 27096201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10269073) 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, 3672 + ... + 5832.

It is an arithmetic number, because the mean of its divisors is an integer number (402132).

Almost surely, 2^10269072 is an apocalyptic number.

10269072 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 10269072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16085280).

10269072 is an abundant number, since it is smaller than the sum of its proper divisors (21901488).

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

10269072 is a wasteful number, since it uses less digits than its factorization.

10269072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 10269072 is about 3204.5392804583. The cubic root of 10269072 is about 217.3587191879.

The spelling of 10269072 in words is "ten million, two hundred sixty-nine thousand, seventy-two".