1002725892 has 144 divisors (see below), whose sum is σ = 3181127040. Its totient is φ = 269609472.

The previous prime is 1002725813. The next prime is 1002725923. The reversal of 1002725892 is 2985272001.

1002725892 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 72 + 589 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 111334 + ... + 120002.

It is an arithmetic number, because the mean of its divisors is an integer number (22091160).

Almost surely, 2^1002725892 is an apocalyptic number.

1002725892 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 1002725892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590563520).

1002725892 is an abundant number, since it is smaller than the sum of its proper divisors (2178401148).

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

1002725892 is a wasteful number, since it uses less digits than its factorization.

1002725892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8712 (or 8698 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1002725892 is about 31665.8474069462. The cubic root of 1002725892 is about 1000.9078063050.

Adding to 1002725892 its reverse (2985272001), we get a palindrome (3987997893).

The spelling of 1002725892 in words is "one billion, two million, seven hundred twenty-five thousand, eight hundred ninety-two".