1272417672 has 32 divisors (see below), whose sum is σ = 3205334880. Its totient is φ = 420900480.

The previous prime is 1272417617. The next prime is 1272417677. The reversal of 1272417672 is 2767142721.

1272417672 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1272417672.

It is not an unprimeable number, because it can be changed into a prime (1272417677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199213 + ... + 205500.

It is an arithmetic number, because the mean of its divisors is an integer number (100166715).

Almost surely, 2^1272417672 is an apocalyptic number.

1272417672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1272417672 is an abundant number, since it is smaller than the sum of its proper divisors (1932917208).

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

1272417672 is a wasteful number, since it uses less digits than its factorization.

1272417672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404853 (or 404849 counting only the distinct ones).

The product of its digits is 65856, while the sum is 39.

The square root of 1272417672 is about 35670.9639903381. The cubic root of 1272417672 is about 1083.6188821922.

The spelling of 1272417672 in words is "one billion, two hundred seventy-two million, four hundred seventeen thousand, six hundred seventy-two".