1281807072 has 576 divisors, whose sum is σ = 4995224640. Its totient is φ = 315850752.

The previous prime is 1281807053. The next prime is 1281807101. The reversal of 1281807072 is 2707081821.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9356188 + ... + 9356324.

It is an arithmetic number, because the mean of its divisors is an integer number (8672265).

Almost surely, 2^1281807072 is an apocalyptic number.

1281807072 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 1281807072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2497612320).

1281807072 is an abundant number, since it is smaller than the sum of its proper divisors (3713417568).

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

1281807072 is a wasteful number, since it uses less digits than its factorization.

1281807072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 1281807072 is about 35802.3333317816. Note that the first 5 decimals coincide. The cubic root of 1281807072 is about 1086.2777593003.

Adding to 1281807072 its reverse (2707081821), we get a palindrome (3988888893).

The spelling of 1281807072 in words is "one billion, two hundred eighty-one million, eight hundred seven thousand, seventy-two".