1272722400 has 216 divisors, whose sum is σ = 4584644064. Its totient is φ = 332083200.

The previous prime is 1272722393. The next prime is 1272722413. The reversal of 1272722400 is 42272721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 336520 + ... + 340280.

It is an arithmetic number, because the mean of its divisors is an integer number (21225204).

Almost surely, 2^1272722400 is an apocalyptic number.

1272722400 is a gapful number since it is divisible by the number (10) 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 1272722400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292322032).

1272722400 is an abundant number, since it is smaller than the sum of its proper divisors (3311921664).

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

1272722400 is a wasteful number, since it uses less digits than its factorization.

1272722400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3834 (or 3818 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 1272722400 is about 35675.2351078448. The cubic root of 1272722400 is about 1083.7053796438.

The spelling of 1272722400 in words is "one billion, two hundred seventy-two million, seven hundred twenty-two thousand, four hundred".