1300815072 has 96 divisors (see below), whose sum is σ = 3804917760. Its totient is φ = 432362880.

The previous prime is 1300815053. The next prime is 1300815073. The reversal of 1300815072 is 2705180031.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300815073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328947 + ... + 332877.

It is an arithmetic number, because the mean of its divisors is an integer number (39634560).

Almost surely, 2^1300815072 is an apocalyptic number.

1300815072 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 1300815072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902458880).

1300815072 is an abundant number, since it is smaller than the sum of its proper divisors (2504102688).

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

1300815072 is a wasteful number, since it uses less digits than its factorization.

1300815072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4333 (or 4319 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1300815072 is about 36066.8139984668. The cubic root of 1300815072 is about 1091.6209286848.

The spelling of 1300815072 in words is "one billion, three hundred million, eight hundred fifteen thousand, seventy-two".