1701228672 has 384 divisors, whose sum is σ = 6014736000. Its totient is φ = 454164480.

The previous prime is 1701228671. The next prime is 1701228679. The reversal of 1701228672 is 2768221071.

It is a tau number, because it is divible by the number of its divisors (384).

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 (1701228671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3788704 + ... + 3789152.

It is an arithmetic number, because the mean of its divisors is an integer number (15663375).

Almost surely, 2^1701228672 is an apocalyptic number.

1701228672 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 1701228672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3007368000).

1701228672 is an abundant number, since it is smaller than the sum of its proper divisors (4313507328).

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

1701228672 is a wasteful number, since it uses less digits than its factorization.

1701228672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 1701228672 is about 41245.9534015156. The cubic root of 1701228672 is about 1193.7706519750.

The spelling of 1701228672 in words is "one billion, seven hundred one million, two hundred twenty-eight thousand, six hundred seventy-two".