10242672 has 80 divisors (see below), whose sum is σ = 30414720. Its totient is φ = 2937600.

The previous prime is 10242671. The next prime is 10242697. The reversal of 10242672 is 27624201.

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 (10242671) 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, 9522 + ... + 10542.

It is an arithmetic number, because the mean of its divisors is an integer number (380184).

Almost surely, 2^10242672 is an apocalyptic number.

10242672 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 10242672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15207360).

10242672 is an abundant number, since it is smaller than the sum of its proper divisors (20172048).

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

10242672 is a wasteful number, since it uses less digits than its factorization.

10242672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1056 counting only the distinct ones).

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

The square root of 10242672 is about 3200.4174727682. The cubic root of 10242672 is about 217.1722955076.

Adding to 10242672 its reverse (27624201), we get a palindrome (37866873).

The spelling of 10242672 in words is "ten million, two hundred forty-two thousand, six hundred seventy-two".