1072104048 has 120 divisors (see below), whose sum is σ = 3207370608. Its totient is φ = 333121536.

The previous prime is 1072104041. The next prime is 1072104071. The reversal of 1072104048 is 8404012701.

It is a Cunningham number, because it is equal to 32743²-1.

It is a super-2 number, since 2×1072104048² = 2298814179475972608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072104041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259890 + ... + 263982.

Almost surely, 2^1072104048 is an apocalyptic number.

1072104048 is a gapful number since it is divisible by the number (18) 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 1072104048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603685304).

1072104048 is an abundant number, since it is smaller than the sum of its proper divisors (2135266560).

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

1072104048 is a wasteful number, since it uses less digits than its factorization.

1072104048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4231 (or 4222 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 1072104048 is about 32742.9999847296. Note that the first 4 decimals coincide. The cubic root of 1072104048 is about 1023.4791000986.

Adding to 1072104048 its reverse (8404012701), we get a palindrome (9476116749).

The spelling of 1072104048 in words is "one billion, seventy-two million, one hundred four thousand, forty-eight".