735726060 has 72 divisors (see below), whose sum is σ = 2241832320. Its totient is φ = 195303168.

The previous prime is 735726059. The next prime is 735726071. The reversal of 735726060 is 60627537.

It is a happy number.

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30976 + ... + 49304.

It is an arithmetic number, because the mean of its divisors is an integer number (31136560).

Almost surely, 2^735726060 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 735726060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120916160).

735726060 is an abundant number, since it is smaller than the sum of its proper divisors (1506106260).

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

735726060 is a wasteful number, since it uses less digits than its factorization.

735726060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18567 (or 18562 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 735726060 is about 27124.2706814395. The cubic root of 735726060 is about 902.7594566114.

The spelling of 735726060 in words is "seven hundred thirty-five million, seven hundred twenty-six thousand, sixty".