1272376000 has 112 divisors (see below), whose sum is σ = 3601346112. Its totient is φ = 436224000.

The previous prime is 1272375991. The next prime is 1272376009. The reversal of 1272376000 is 6732721.

It is an interprime number because it is at equal distance from previous prime (1272375991) and next prime (1272376009).

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (28) 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 (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1272376000.

It is not an unprimeable number, because it can be changed into a prime (1272376009) 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, 44640 + ... + 67360.

It is an arithmetic number, because the mean of its divisors is an integer number (32154876).

Almost surely, 2^1272376000 is an apocalyptic number.

1272376000 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 1272376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800673056).

1272376000 is an abundant number, since it is smaller than the sum of its proper divisors (2328970112).

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

1272376000 is an equidigital number, since it uses as much as digits as its factorization.

1272376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22755 (or 22735 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 1272376000 is about 35670.3798690174. The cubic root of 1272376000 is about 1083.6070524658.

The spelling of 1272376000 in words is "one billion, two hundred seventy-two million, three hundred seventy-six thousand".