1272079424 has 112 divisors (see below), whose sum is σ = 3161483136. Its totient is φ = 493363200.

The previous prime is 1272079399. The next prime is 1272079427. The reversal of 1272079424 is 4249702721.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (1272079427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1443464 + ... + 1444344.

It is an arithmetic number, because the mean of its divisors is an integer number (28227528).

Almost surely, 2^1272079424 is an apocalyptic number.

1272079424 is a gapful number since it is divisible by the number (14) 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 1272079424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580741568).

1272079424 is an abundant number, since it is smaller than the sum of its proper divisors (1889403712).

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

1272079424 is a wasteful number, since it uses less digits than its factorization.

1272079424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 1272079424 is about 35666.2224520624. Note that the first 3 decimals coincide. The cubic root of 1272079424 is about 1083.5228538699.

It can be divided in two parts, 127207 and 9424, that added together give a palindrome (136631).

The spelling of 1272079424 in words is "one billion, two hundred seventy-two million, seventy-nine thousand, four hundred twenty-four".