1725272064 has 156 divisors (see below), whose sum is σ = 5278575276. Its totient is φ = 541065216.

The previous prime is 1725272057. The next prime is 1725272123. The reversal of 1725272064 is 4602725271.

It is a happy number.

1725272064 is a `hidden beast` number, since 1 + 72 + 527 + 2 + 0 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1489342464 + 235929600 = 38592^2 + 15360^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 625312 + ... + 628064.

It is an arithmetic number, because the mean of its divisors is an integer number (33837021).

Almost surely, 2^1725272064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1725272064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2639287638).

1725272064 is an abundant number, since it is smaller than the sum of its proper divisors (3553303212).

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

1725272064 is a wasteful number, since it uses less digits than its factorization.

1725272064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 1725272064 is about 41536.3944511316. The cubic root of 1725272064 is about 1199.3682007498.

The spelling of 1725272064 in words is "one billion, seven hundred twenty-five million, two hundred seventy-two thousand, sixty-four".