10042272 has 96 divisors (see below), whose sum is σ = 29937600. Its totient is φ = 3273984.

The previous prime is 10042199. The next prime is 10042289. The reversal of 10042272 is 27224001.

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 (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50878 + ... + 51074.

It is an arithmetic number, because the mean of its divisors is an integer number (311850).

Almost surely, 2^10042272 is an apocalyptic number.

10042272 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 10042272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14968800).

10042272 is an abundant number, since it is smaller than the sum of its proper divisors (19895328).

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

10042272 is a wasteful number, since it uses less digits than its factorization.

10042272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 10042272 is about 3168.9544016915. The cubic root of 10042272 is about 215.7466164594.

Adding to 10042272 its reverse (27224001), we get a palindrome (37266273).

The spelling of 10042272 in words is "ten million, forty-two thousand, two hundred seventy-two".