1272416544 has 288 divisors, whose sum is σ = 4426845696. Its totient is φ = 338411520.

The previous prime is 1272416543. The next prime is 1272416599. The reversal of 1272416544 is 4456142721.

1272416544 is a `hidden beast` number, since 1 + 2 + 72 + 41 + 6 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1272416544² = 3238087722889807872, which contains 22 as substring.

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

Its product of digits (53760) is a multiple of the sum of its prime factors (448).

It is a junction number, because it is equal to n+sod(n) for n = 1272416499 and 1272416508.

It is not an unprimeable number, because it can be changed into a prime (1272416543) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4695129 + ... + 4695399.

It is an arithmetic number, because the mean of its divisors is an integer number (15370992).

Almost surely, 2^1272416544 is an apocalyptic number.

1272416544 is a gapful number since it is divisible by the number (14) 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 1272416544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213422848).

1272416544 is an abundant number, since it is smaller than the sum of its proper divisors (3154429152).

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

1272416544 is a wasteful number, since it uses less digits than its factorization.

1272416544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 437 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 1272416544 is about 35670.9481791555. The cubic root of 1272416544 is about 1083.6185619823.

The spelling of 1272416544 in words is "one billion, two hundred seventy-two million, four hundred sixteen thousand, five hundred forty-four".