1272491584 has 147 divisors (see below), whose sum is σ = 3189989937. Its totient is φ = 503403264.

The previous prime is 1272491581. The next prime is 1272491641. The reversal of 1272491584 is 4851942721.

The square root of 1272491584 is 35672.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 188238400 + 1084253184 = 13720^2 + 32928^2 .

It is a Duffinian number.

Its product of digits (161280) is a multiple of the sum of its prime factors (80).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 1272491584.

It is not an unprimeable number, because it can be changed into a prime (1272491581) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 97883962 + ... + 97883974.

Almost surely, 2^1272491584 is an apocalyptic number.

1272491584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1272491584 is the 35672-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1272491584

1272491584 is an abundant number, since it is smaller than the sum of its proper divisors (1917498353).

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

1272491584 is an frugal number, since it uses more digits than its factorization.

1272491584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 22 counting only the distinct ones).

The product of its digits is 161280, while the sum is 43.

The cubic root of 1272491584 is about 1083.6398634811.

The spelling of 1272491584 in words is "one billion, two hundred seventy-two million, four hundred ninety-one thousand, five hundred eighty-four".