1075172000 has 384 divisors, whose sum is σ = 3321077760. Its totient is φ = 333849600.

The previous prime is 1075171973. The next prime is 1075172003. The reversal of 1075172000 is 2715701.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1075172003) 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, 22875977 + ... + 22876023.

It is an arithmetic number, because the mean of its divisors is an integer number (8648640).

Almost surely, 2^1075172000 is an apocalyptic number.

1075172000 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 1075172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660538880).

1075172000 is an abundant number, since it is smaller than the sum of its proper divisors (2245905760).

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

1075172000 is a wasteful number, since it uses less digits than its factorization.

1075172000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 23.

The square root of 1075172000 is about 32789.8154920091. The cubic root of 1075172000 is about 1024.4544390019.

Adding to 1075172000 its reverse (2715701), we get a palindrome (1077887701).

The spelling of 1075172000 in words is "one billion, seventy-five million, one hundred seventy-two thousand".