1129174272 has 216 divisors, whose sum is σ = 3489647616. Its totient is φ = 349913088.

The previous prime is 1129174231. The next prime is 1129174279. The reversal of 1129174272 is 2724719211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1129174279) 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, 4974223 + ... + 4974449.

It is an arithmetic number, because the mean of its divisors is an integer number (16155776).

Almost surely, 2^1129174272 is an apocalyptic number.

1129174272 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 1129174272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744823808).

1129174272 is an abundant number, since it is smaller than the sum of its proper divisors (2360473344).

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

1129174272 is a wasteful number, since it uses less digits than its factorization.

1129174272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 376 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 1129174272 is about 33603.1884201485. The cubic root of 1129174272 is about 1041.3266698410.

The spelling of 1129174272 in words is "one billion, one hundred twenty-nine million, one hundred seventy-four thousand, two hundred seventy-two".