1172071728 has 80 divisors (see below), whose sum is σ = 3368936160. Its totient is φ = 390150144.

The previous prime is 1172071727. The next prime is 1172071787. The reversal of 1172071728 is 8271702711.

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

It is a junction number, because it is equal to n+sod(n) for n = 1172071692 and 1172071701.

It is not an unprimeable number, because it can be changed into a prime (1172071727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420676 + ... + 423452.

It is an arithmetic number, because the mean of its divisors is an integer number (42111702).

Almost surely, 2^1172071728 is an apocalyptic number.

1172071728 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 1172071728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684468080).

1172071728 is an abundant number, since it is smaller than the sum of its proper divisors (2196864432).

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

1172071728 is a wasteful number, since it uses less digits than its factorization.

1172071728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3771 (or 3759 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 36.

The square root of 1172071728 is about 34235.5331198449. The cubic root of 1172071728 is about 1054.3498245293.

The spelling of 1172071728 in words is "one billion, one hundred seventy-two million, seventy-one thousand, seven hundred twenty-eight".