1272223872 has 192 divisors, whose sum is σ = 3797876160. Its totient is φ = 408545280.

The previous prime is 1272223861. The next prime is 1272223877. The reversal of 1272223872 is 2783222721.

It is a happy number.

1272223872 is a `hidden beast` number, since 1 + 272 + 2 + 2 + 387 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (1272223877) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4090597 + ... + 4090907.

It is an arithmetic number, because the mean of its divisors is an integer number (19780605).

Almost surely, 2^1272223872 is an apocalyptic number.

1272223872 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 1272223872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898938080).

1272223872 is an abundant number, since it is smaller than the sum of its proper divisors (2525652288).

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

1272223872 is a wasteful number, since it uses less digits than its factorization.

1272223872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 436 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 1272223872 is about 35668.2473917629. The cubic root of 1272223872 is about 1083.5638646177.

The spelling of 1272223872 in words is "one billion, two hundred seventy-two million, two hundred twenty-three thousand, eight hundred seventy-two".