10264272 has 40 divisors (see below), whose sum is σ = 27138144. Its totient is φ = 3341184.

The previous prime is 10264271. The next prime is 10264301. The reversal of 10264272 is 27246201.

10264272 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 (10264271) 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, 423 + ... + 4550.

Almost surely, 2^10264272 is an apocalyptic number.

10264272 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 10264272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13569072).

10264272 is an abundant number, since it is smaller than the sum of its proper divisors (16873872).

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

10264272 is a wasteful number, since it uses less digits than its factorization.

10264272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5027 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 10264272 is about 3203.7902553070. The cubic root of 10264272 is about 217.3248477582.

Adding to 10264272 its product of nonzero digits (1344), we get a square (10265616 = 3204²).

The spelling of 10264272 in words is "ten million, two hundred sixty-four thousand, two hundred seventy-two".