1075507264272 has 160 divisors (see below), whose sum is σ = 3368749465600. Its totient is φ = 288822288384.

The previous prime is 1075507264267. The next prime is 1075507264277. The reversal of 1075507264272 is 2724627055701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1075507264267) and next prime (1075507264277).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1075507264277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147504 + ... + 1474032.

It is an arithmetic number, because the mean of its divisors is an integer number (21054684160).

Almost surely, 2^{1075507264272} is an apocalyptic number.

1075507264272 is a gapful number since it is divisible by the number (12) 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 1075507264272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684374732800).

1075507264272 is an abundant number, since it is smaller than the sum of its proper divisors (2293242201328).

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

1075507264272 is a wasteful number, since it uses less digits than its factorization.

1075507264272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326693 (or 1326687 counting only the distinct ones).

The product of its (nonzero) digits is 1646400, while the sum is 48.

The spelling of 1075507264272 in words is "one trillion, seventy-five billion, five hundred seven million, two hundred sixty-four thousand, two hundred seventy-two".