1072914048 has 96 divisors (see below), whose sum is σ = 3094287300. Its totient is φ = 356843520.

The previous prime is 1072914043. The next prime is 1072914077. The reversal of 1072914048 is 8404192701.

It can be written as a sum of positive squares in 2 ways, for example, as 1038901824 + 34012224 = 32232^2 + 5832^2 .

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

It is a super-2 number, since 2×1072914048² = 2302289108791492608, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1072914043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 760768 + ... + 762176.

Almost surely, 2^1072914048 is an apocalyptic number.

1072914048 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 1072914048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547143650).

1072914048 is an abundant number, since it is smaller than the sum of its proper divisors (2021373252).

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

1072914048 is a wasteful number, since it uses less digits than its factorization.

1072914048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1072914048 is about 32755.3667053202. The cubic root of 1072914048 is about 1023.7367894461.

The spelling of 1072914048 in words is "one billion, seventy-two million, nine hundred fourteen thousand, forty-eight".