1272719952 has 200 divisors, whose sum is σ = 4290903936. Its totient is φ = 356638464.

The previous prime is 1272719923. The next prime is 1272719957. The reversal of 1272719952 is 2599172721.

It is a junction number, because it is equal to n+sod(n) for n = 1272719898 and 1272719907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1272719957) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 479493 + ... + 482139.

Almost surely, 2^1272719952 is an apocalyptic number.

1272719952 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 1272719952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145451968).

1272719952 is an abundant number, since it is smaller than the sum of its proper divisors (3018183984).

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

1272719952 is a wasteful number, since it uses less digits than its factorization.

1272719952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2727 (or 2712 counting only the distinct ones).

The product of its digits is 158760, while the sum is 45.

The square root of 1272719952 is about 35675.2007983137. The cubic root of 1272719952 is about 1083.7046848307.

The spelling of 1272719952 in words is "one billion, two hundred seventy-two million, seven hundred nineteen thousand, nine hundred fifty-two".