10258272 has 96 divisors (see below), whose sum is σ = 30965760. Its totient is φ = 3300480.

The previous prime is 10258249. The next prime is 10258289. The reversal of 10258272 is 27285201.

10258272 is a `hidden beast` number, since 10 + 2 + 582 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 26593 + ... + 26975.

It is an arithmetic number, because the mean of its divisors is an integer number (322560).

Almost surely, 2^10258272 is an apocalyptic number.

10258272 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 10258272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15482880).

10258272 is an abundant number, since it is smaller than the sum of its proper divisors (20707488).

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

10258272 is a wasteful number, since it uses less digits than its factorization.

10258272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 10258272 is about 3202.8537275374. The cubic root of 10258272 is about 217.2824936180.

The spelling of 10258272 in words is "ten million, two hundred fifty-eight thousand, two hundred seventy-two".