735216 has 60 divisors (see below), whose sum is σ = 2055672. Its totient is φ = 226304.

The previous prime is 735211. The next prime is 735239. The reversal of 735216 is 612537.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 735216.

It is not an unprimeable number, because it can be changed into a prime (735211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13846 + ... + 13898.

2⁷³⁵²¹⁶ 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 735216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027836).

735216 is an abundant number, since it is smaller than the sum of its proper divisors (1320456).

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

735216 is a wasteful number, since it uses less digits than its factorization.

735216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 75 counting only the distinct ones).

The product of its digits is 1260, while the sum is 24.

The square root of 735216 is about 857.4473744785. The cubic root of 735216 is about 90.2550788393.

The spelling of 735216 in words is "seven hundred thirty-five thousand, two hundred sixteen".