1301072832 has 336 divisors, whose sum is σ = 4236598080. Its totient is φ = 379551744.

The previous prime is 1301072827. The next prime is 1301072833. The reversal of 1301072832 is 2382701031.

It is a junction number, because it is equal to n+sod(n) for n = 1301072796 and 1301072805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301072833) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11936394 + ... + 11936502.

Almost surely, 2^1301072832 is an apocalyptic number.

1301072832 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 1301072832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118299040).

1301072832 is an abundant number, since it is smaller than the sum of its proper divisors (2935525248).

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

1301072832 is a wasteful number, since it uses less digits than its factorization.

1301072832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1301072832 is about 36070.3871894938. The cubic root of 1301072832 is about 1091.6930264624.

Adding to 1301072832 its reverse (2382701031), we get a palindrome (3683773863).

The spelling of 1301072832 in words is "one billion, three hundred one million, seventy-two thousand, eight hundred thirty-two".