1019725672 has 48 divisors (see below), whose sum is σ = 2241768960. Its totient is φ = 433562976.

The previous prime is 1019725667. The next prime is 1019725691. The reversal of 1019725672 is 2765279101.

It is a super-2 number, since 2×1019725672² = 2079680892271703168, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 39543 + ... + 60025.

It is an arithmetic number, because the mean of its divisors is an integer number (46703520).

Almost surely, 2^1019725672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1019725672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120884480).

1019725672 is an abundant number, since it is smaller than the sum of its proper divisors (1222043288).

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

1019725672 is a wasteful number, since it uses less digits than its factorization.

1019725672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20630 (or 20619 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 40.

The square root of 1019725672 is about 31933.1437851020. The cubic root of 1019725672 is about 1006.5324580717.

The spelling of 1019725672 in words is "one billion, nineteen million, seven hundred twenty-five thousand, six hundred seventy-two".