1002766272 has 56 divisors (see below), whose sum is σ = 2656886736. Its totient is φ = 333785088.

The previous prime is 1002766253. The next prime is 1002766277. The reversal of 1002766272 is 2726672001.

It is a super-4 number, since 4×1002766272⁴ (a number of 37 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002766277) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149748 + ... + 156300.

It is an arithmetic number, because the mean of its divisors is an integer number (47444406).

Almost surely, 2^1002766272 is an apocalyptic number.

1002766272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002766272 is an abundant number, since it is smaller than the sum of its proper divisors (1654120464).

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

1002766272 is an equidigital number, since it uses as much as digits as its factorization.

1002766272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7365 (or 7355 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 1002766272 is about 31666.4849959701. The cubic root of 1002766272 is about 1000.9212417197.

The spelling of 1002766272 in words is "one billion, two million, seven hundred sixty-six thousand, two hundred seventy-two".