735540672 has 56 divisors (see below), whose sum is σ = 1954733200. Its totient is φ = 244094976.

The previous prime is 735540599. The next prime is 735540703. The reversal of 735540672 is 276045537.

It is a super-3 number, since 3×735540672³ (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 735540672.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35604 + ... + 52332.

It is an arithmetic number, because the mean of its divisors is an integer number (34905950).

Almost surely, 2^735540672 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 735540672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977366600).

735540672 is an abundant number, since it is smaller than the sum of its proper divisors (1219192528).

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

735540672 is a wasteful number, since it uses less digits than its factorization.

735540672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16973 (or 16963 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 39.

The square root of 735540672 is about 27120.8530839279. The cubic root of 735540672 is about 902.6836245690.

The spelling of 735540672 in words is "seven hundred thirty-five million, five hundred forty thousand, six hundred seventy-two".