1272372096 has 128 divisors (see below), whose sum is σ = 3450211200. Its totient is φ = 415397888.

The previous prime is 1272372083. The next prime is 1272372103. The reversal of 1272372096 is 6902732721.

1272372096 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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, 7108135 + ... + 7108313.

It is an arithmetic number, because the mean of its divisors is an integer number (26954775).

Almost surely, 2^1272372096 is an apocalyptic number.

1272372096 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 1272372096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725105600).

1272372096 is an abundant number, since it is smaller than the sum of its proper divisors (2177839104).

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

1272372096 is a wasteful number, since it uses less digits than its factorization.

1272372096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 1272372096 is about 35670.3251457006. The cubic root of 1272372096 is about 1083.6059441963.

The spelling of 1272372096 in words is "one billion, two hundred seventy-two million, three hundred seventy-two thousand, ninety-six".