1072131120 has 320 divisors, whose sum is σ = 3837849600. Its totient is φ = 274959360.

The previous prime is 1072131103. The next prime is 1072131121. The reversal of 1072131120 is 211312701.

It is a happy number.

It is a super-2 number, since 2×1072131120² = 2298930276944908800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1072131093 and 1072131102.

It is not an unprimeable number, because it can be changed into a prime (1072131121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10408989 + ... + 10409091.

It is an arithmetic number, because the mean of its divisors is an integer number (11993280).

Almost surely, 2^1072131120 is an apocalyptic number.

1072131120 is a gapful number since it is divisible by the number (10) 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 1072131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918924800).

1072131120 is an abundant number, since it is smaller than the sum of its proper divisors (2765718480).

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

1072131120 is a wasteful number, since it uses less digits than its factorization.

1072131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 1072131120 is about 32743.4133834577. The cubic root of 1072131120 is about 1023.4877147454.

Adding to 1072131120 its reverse (211312701), we get a palindrome (1283443821).

The spelling of 1072131120 in words is "one billion, seventy-two million, one hundred thirty-one thousand, one hundred twenty".