10072496 has 40 divisors (see below), whose sum is σ = 22498560. Its totient is φ = 4279104.

The previous prime is 10072487. The next prime is 10072501. The reversal of 10072496 is 69427001.

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 7 ways as a sum of consecutive naturals, for example, 15245 + ... + 15891.

It is an arithmetic number, because the mean of its divisors is an integer number (562464).

Almost surely, 2^10072496 is an apocalyptic number.

10072496 is a gapful number since it is divisible by the number (16) 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 10072496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249280).

10072496 is an abundant number, since it is smaller than the sum of its proper divisors (12426064).

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

10072496 is a wasteful number, since it uses less digits than its factorization.

10072496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 10072496 is about 3173.7195843363. The cubic root of 10072496 is about 215.9628422594.

Adding to 10072496 its reverse (69427001), we get a palindrome (79499497).

The spelling of 10072496 in words is "ten million, seventy-two thousand, four hundred ninety-six".