10072470528 has 308 divisors, whose sum is σ = 30714629088. Its totient is φ = 3299512320.

The previous prime is 10072470509. The next prime is 10072470557. The reversal of 10072470528 is 82507427001.

10072470528 is a `hidden beast` number, since 100 + 7 + 24 + 7 + 0 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10072470492 and 10072470501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 76889023 + ... + 76889153.

Almost surely, 2^10072470528 is an apocalyptic number.

10072470528 is a gapful number since it is divisible by the number (18) 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 10072470528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15357314544).

10072470528 is an abundant number, since it is smaller than the sum of its proper divisors (20642158560).

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

10072470528 is an equidigital number, since it uses as much as digits as its factorization.

10072470528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

Adding to 10072470528 its reverse (82507427001), we get a palindrome (92579897529).

The spelling of 10072470528 in words is "ten billion, seventy-two million, four hundred seventy thousand, five hundred twenty-eight".