1272001590 has 128 divisors (see below), whose sum is σ = 3493601280. Its totient is φ = 329187456.

The previous prime is 1272001583. The next prime is 1272001609. The reversal of 1272001590 is 951002721.

1272001590 is a `hidden beast` number, since 1 + 2 + 72 + 0 + 0 + 1 + 590 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1473499 + ... + 1474361.

It is an arithmetic number, because the mean of its divisors is an integer number (27293760).

Almost surely, 2^1272001590 is an apocalyptic number.

1272001590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1272001590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746800640).

1272001590 is an abundant number, since it is smaller than the sum of its proper divisors (2221599690).

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

1272001590 is a wasteful number, since it uses less digits than its factorization.

1272001590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1272001590 is about 35665.1312909402. The cubic root of 1272001590 is about 1083.5007544537.

The spelling of 1272001590 in words is "one billion, two hundred seventy-two million, one thousand, five hundred ninety".