735271728 has 80 divisors (see below), whose sum is σ = 2086414080. Its totient is φ = 222089472.

The previous prime is 735271727. The next prime is 735271729. The reversal of 735271728 is 827172537.

It is an interprime number because it is at equal distance from previous prime (735271727) and next prime (735271729).

It is a super-2 number, since 2×735271728² = 1081249027992211968, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 735271728.

It is not an unprimeable number, because it can be changed into a prime (735271721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3450 + ... + 38502.

It is an arithmetic number, because the mean of its divisors is an integer number (26080176).

Almost surely, 2^735271728 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 735271728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043207040).

735271728 is an abundant number, since it is smaller than the sum of its proper divisors (1351142352).

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

735271728 is a wasteful number, since it uses less digits than its factorization.

735271728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35106 (or 35100 counting only the distinct ones).

The product of its digits is 164640, while the sum is 42.

The square root of 735271728 is about 27115.8943794963. The cubic root of 735271728 is about 902.5735917052.

The spelling of 735271728 in words is "seven hundred thirty-five million, two hundred seventy-one thousand, seven hundred twenty-eight".