1272742000 has 80 divisors (see below), whose sum is σ = 3135817152. Its totient is φ = 499449600.

The previous prime is 1272741997. The next prime is 1272742001. The reversal of 1272742000 is 2472721.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1272742001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99997 + ... + 112003.

Almost surely, 2^1272742000 is an apocalyptic number.

1272742000 is a gapful number since it is divisible by the number (10) 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 1272742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567908576).

1272742000 is an abundant number, since it is smaller than the sum of its proper divisors (1863075152).

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

1272742000 is a wasteful number, since it uses less digits than its factorization.

1272742000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12083 (or 12067 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 25.

The square root of 1272742000 is about 35675.5098071492. The cubic root of 1272742000 is about 1083.7109426575.

The spelling of 1272742000 in words is "one billion, two hundred seventy-two million, seven hundred forty-two thousand".