10354272 has 24 divisors (see below), whose sum is σ = 27180216. Its totient is φ = 3451392.

The previous prime is 10354261. The next prime is 10354277. The reversal of 10354272 is 27245301.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×10354272³ (a number of 22 digits) contains 333 as substring.

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 (10354277) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53833 + ... + 54024.

It is an arithmetic number, because the mean of its divisors is an integer number (1132509).

Almost surely, 2^10354272 is an apocalyptic number.

10354272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10354272 is an abundant number, since it is smaller than the sum of its proper divisors (16825944).

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

10354272 is a wasteful number, since it uses less digits than its factorization.

10354272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107870 (or 107862 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 10354272 is about 3217.8054633554. The cubic root of 10354272 is about 217.9581885416.

Adding to 10354272 its reverse (27245301), we get a palindrome (37599573).

The spelling of 10354272 in words is "ten million, three hundred fifty-four thousand, two hundred seventy-two".