10079472 has 80 divisors (see below), whose sum is σ = 29060640. Its totient is φ = 2989056.

The previous prime is 10079471. The next prime is 10079473. The reversal of 10079472 is 27497001.

10079472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10079471) and next prime (10079473).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10079471) 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, 17818 + ... + 18374.

It is an arithmetic number, because the mean of its divisors is an integer number (363258).

Almost surely, 2^10079472 is an apocalyptic number.

10079472 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 10079472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14530320).

10079472 is an abundant number, since it is smaller than the sum of its proper divisors (18981168).

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

10079472 is a wasteful number, since it uses less digits than its factorization.

10079472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 10079472 is about 3174.8184200045. The cubic root of 10079472 is about 216.0126878692.

The spelling of 10079472 in words is "ten million, seventy-nine thousand, four hundred seventy-two".