1272548160 has 336 divisors, whose sum is σ = 4834524240. Its totient is φ = 305233920.

The previous prime is 1272548131. The next prime is 1272548239. The reversal of 1272548160 is 618452721.

It can be written as a sum of positive squares in 8 ways, for example, as 303595776 + 968952384 = 17424^2 + 31128^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1534626 + ... + 1535454.

It is an arithmetic number, because the mean of its divisors is an integer number (14388465).

Almost surely, 2^1272548160 is an apocalyptic number.

1272548160 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 1272548160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417262120).

1272548160 is an abundant number, since it is smaller than the sum of its proper divisors (3561976080).

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

1272548160 is a wasteful number, since it uses less digits than its factorization.

1272548160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1272548160 is about 35672.7929941013. The cubic root of 1272548160 is about 1083.6559230766.

The spelling of 1272548160 in words is "one billion, two hundred seventy-two million, five hundred forty-eight thousand, one hundred sixty".