1272391752 has 64 divisors (see below), whose sum is σ = 3253596480. Its totient is φ = 414554112.

The previous prime is 1272391751. The next prime is 1272391759. The reversal of 1272391752 is 2571932721.

It is a super-3 number, since 3×1272391752³ (a number of 28 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1272391752.

It is not an unprimeable number, because it can be changed into a prime (1272391751) 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, 194763 + ... + 201189.

It is an arithmetic number, because the mean of its divisors is an integer number (50837445).

Almost surely, 2^1272391752 is an apocalyptic number.

1272391752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1272391752 is an abundant number, since it is smaller than the sum of its proper divisors (1981204728).

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

1272391752 is a wasteful number, since it uses less digits than its factorization.

1272391752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6622 (or 6618 counting only the distinct ones).

The product of its digits is 52920, while the sum is 39.

The square root of 1272391752 is about 35670.6006677768. The cubic root of 1272391752 is about 1083.6115241282.

The spelling of 1272391752 in words is "one billion, two hundred seventy-two million, three hundred ninety-one thousand, seven hundred fifty-two".