1300072896 has 112 divisors (see below), whose sum is σ = 3839565600. Its totient is φ = 431364096.

The previous prime is 1300072889. The next prime is 1300072903. The reversal of 1300072896 is 6982700031.

It is an interprime number because it is at equal distance from previous prime (1300072889) and next prime (1300072903).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1300072896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 401010 + ... + 404238.

Almost surely, 2^1300072896 is an apocalyptic number.

1300072896 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 1300072896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919782800).

1300072896 is an abundant number, since it is smaller than the sum of its proper divisors (2539492704).

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

1300072896 is a wasteful number, since it uses less digits than its factorization.

1300072896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3483 (or 3467 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1300072896 is about 36056.5236261068. The cubic root of 1300072896 is about 1091.4132822120.

The spelling of 1300072896 in words is "one billion, three hundred million, seventy-two thousand, eight hundred ninety-six".