1072272515328 has 216 divisors, whose sum is σ = 3664150829248. Its totient is φ = 306363451392.

The previous prime is 1072272515323. The next prime is 1072272515351. The reversal of 1072272515328 is 8235152722701.

It is a happy number.

1072272515328 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 272 + 51 + 5 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×1072272515328² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1072272515323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 795751 + ... + 1666662.

Almost surely, 2^{1072272515328} is an apocalyptic number.

1072272515328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1072272515328 is an abundant number, since it is smaller than the sum of its proper divisors (2591878313920).

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

1072272515328 is an frugal number, since it uses more digits than its factorization.

1072272515328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462451 (or 2462425 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

It can be divided in two parts, 1072272 and 515328, that added together give a square (1587600 = 1260²).

The spelling of 1072272515328 in words is "one trillion, seventy-two billion, two hundred seventy-two million, five hundred fifteen thousand, three hundred twenty-eight".