10002072762 has 96 divisors (see below), whose sum is σ = 24264152640. Its totient is φ = 2951919360.

The previous prime is 10002072737. The next prime is 10002072781. The reversal of 10002072762 is 26727020001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1455238 + ... + 1462094.

It is an arithmetic number, because the mean of its divisors is an integer number (252751590).

Almost surely, 2^10002072762 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002072762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12132076320).

10002072762 is an abundant number, since it is smaller than the sum of its proper divisors (14262079878).

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

10002072762 is a wasteful number, since it uses less digits than its factorization.

10002072762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7068 (or 7065 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

Adding to 10002072762 its reverse (26727020001), we get a palindrome (36729092763).

The spelling of 10002072762 in words is "ten billion, two million, seventy-two thousand, seven hundred sixty-two".