10072296000 has 896 divisors, whose sum is σ = 42337451520. Its totient is φ = 2322432000.

The previous prime is 10072295993. The next prime is 10072296007. The reversal of 10072296000 is 69227001.

It is an interprime number because it is at equal distance from previous prime (10072295993) and next prime (10072296007).

It is a super-2 number, since 2×10072296000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10072296007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47735895 + ... + 47736105.

It is an arithmetic number, because the mean of its divisors is an integer number (47251620).

Almost surely, 2^10072296000 is an apocalyptic number.

10072296000 is a gapful number since it is divisible by the number (10) 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 10072296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21168725760).

10072296000 is an abundant number, since it is smaller than the sum of its proper divisors (32265155520).

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

10072296000 is a wasteful number, since it uses less digits than its factorization.

10072296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 10072296000 in words is "ten billion, seventy-two million, two hundred ninety-six thousand".