1124640072 has 128 divisors (see below), whose sum is σ = 3286656000. Its totient is φ = 355829760.

The previous prime is 1124640059. The next prime is 1124640089. The reversal of 1124640072 is 2700464211.

1124640072 is a `hidden beast` number, since 1 + 12 + 4 + 640 + 0 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353304 + ... + 356472.

It is an arithmetic number, because the mean of its divisors is an integer number (25677000).

Almost surely, 2^1124640072 is an apocalyptic number.

1124640072 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 1124640072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643328000).

1124640072 is an abundant number, since it is smaller than the sum of its proper divisors (2162015928).

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

1124640072 is a wasteful number, since it uses less digits than its factorization.

1124640072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3268 (or 3258 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1124640072 is about 33535.6537434415. The cubic root of 1124640072 is about 1039.9309840789.

The spelling of 1124640072 in words is "one billion, one hundred twenty-four million, six hundred forty thousand, seventy-two".