1002010272 has 96 divisors (see below), whose sum is σ = 2833367040. Its totient is φ = 309154560.

The previous prime is 1002010271. The next prime is 1002010301. The reversal of 1002010272 is 2720102001.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1002010271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61129 + ... + 75767.

It is an arithmetic number, because the mean of its divisors is an integer number (29514240).

Almost surely, 2^1002010272 is an apocalyptic number.

1002010272 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 1002010272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416683520).

1002010272 is an abundant number, since it is smaller than the sum of its proper divisors (1831356768).

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

1002010272 is a wasteful number, since it uses less digits than its factorization.

1002010272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14706 (or 14698 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 1002010272 is about 31654.5458346823. The cubic root of 1002010272 is about 1000.6696421460.

Adding to 1002010272 its reverse (2720102001), we get a palindrome (3722112273).

The spelling of 1002010272 in words is "one billion, two million, ten thousand, two hundred seventy-two".