1272351528 has 96 divisors (see below), whose sum is σ = 3964896000. Its totient is φ = 361067904.

The previous prime is 1272351503. The next prime is 1272351541. The reversal of 1272351528 is 8251532721.

1272351528 is a `hidden beast` number, since 12 + 72 + 3 + 51 + 528 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1272351492 and 1272351501.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66625 + ... + 83567.

It is an arithmetic number, because the mean of its divisors is an integer number (41301000).

Almost surely, 2^1272351528 is an apocalyptic number.

1272351528 is a gapful number since it is divisible by the number (18) 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 1272351528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982448000).

1272351528 is an abundant number, since it is smaller than the sum of its proper divisors (2692544472).

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

1272351528 is a wasteful number, since it uses less digits than its factorization.

1272351528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17111 (or 17104 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 1272351528 is about 35670.0368376597. The cubic root of 1272351528 is about 1083.6001053050.

The spelling of 1272351528 in words is "one billion, two hundred seventy-two million, three hundred fifty-one thousand, five hundred twenty-eight".