1272540672 has 320 divisors, whose sum is σ = 4154525760. Its totient is φ = 382205952.

The previous prime is 1272540649. The next prime is 1272540683. The reversal of 1272540672 is 2760452721.

It is a happy number.

It is a super-3 number, since 3×1272540672³ (a number of 28 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13118928 + ... + 13119024.

It is an arithmetic number, because the mean of its divisors is an integer number (12982893).

Almost surely, 2^1272540672 is an apocalyptic number.

1272540672 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 1272540672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077262880).

1272540672 is an abundant number, since it is smaller than the sum of its proper divisors (2881985088).

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

1272540672 is an equidigital number, since it uses as much as digits as its factorization.

1272540672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 1272540672 is about 35672.6880400118. The cubic root of 1272540672 is about 1083.6537975692.

The spelling of 1272540672 in words is "one billion, two hundred seventy-two million, five hundred forty thousand, six hundred seventy-two".