10272033024 has 288 divisors, whose sum is σ = 31339327488. Its totient is φ = 2958336000.

The previous prime is 10272033019. The next prime is 10272033047. The reversal of 10272033024 is 42033027201.

It is a super-2 number, since 2×10272033024² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10272032985 and 10272033003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15974847 + ... + 15975489.

Almost surely, 2^10272033024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10272033024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15669663744).

10272033024 is an abundant number, since it is smaller than the sum of its proper divisors (21067294464).

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

10272033024 is a wasteful number, since it uses less digits than its factorization.

10272033024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The spelling of 10272033024 in words is "ten billion, two hundred seventy-two million, thirty-three thousand, twenty-four".