1671255072 has 192 divisors, whose sum is σ = 5226197760. Its totient is φ = 518234112.

The previous prime is 1671255041. The next prime is 1671255077. The reversal of 1671255072 is 2705521761.

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

It is not an unprimeable number, because it can be changed into a prime (1671255077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 734128 + ... + 736400.

It is an arithmetic number, because the mean of its divisors is an integer number (27219780).

Almost surely, 2^1671255072 is an apocalyptic number.

1671255072 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 1671255072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2613098880).

1671255072 is an abundant number, since it is smaller than the sum of its proper divisors (3554942688).

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

1671255072 is a wasteful number, since it uses less digits than its factorization.

1671255072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 1671255072 is about 40880.9866808520. The cubic root of 1671255072 is about 1186.7181357693.

The spelling of 1671255072 in words is "one billion, six hundred seventy-one million, two hundred fifty-five thousand, seventy-two".