1272803616 has 432 divisors, whose sum is σ = 4571199360. Its totient is φ = 333849600.

The previous prime is 1272803603. The next prime is 1272803621. The reversal of 1272803616 is 6163082721.

1272803616 is a `hidden beast` number, since 12 + 7 + 28 + 0 + 3 + 616 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12601966 + ... + 12602066.

It is an arithmetic number, because the mean of its divisors is an integer number (10581480).

Almost surely, 2^1272803616 is an apocalyptic number.

1272803616 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 1272803616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285599680).

1272803616 is an abundant number, since it is smaller than the sum of its proper divisors (3298395744).

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

1272803616 is a wasteful number, since it uses less digits than its factorization.

1272803616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1272803616 is about 35676.3733582885. The cubic root of 1272803616 is about 1083.7284305841.

The spelling of 1272803616 in words is "one billion, two hundred seventy-two million, eight hundred three thousand, six hundred sixteen".