735672 has 64 divisors (see below), whose sum is σ = 2188800. Its totient is φ = 201600.

The previous prime is 735659. The next prime is 735673. The reversal of 735672 is 276537.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 7² + 3¹² + 6³ + 5⁷ + 7⁶ + 2¹³ .

Its product of digits (8820) is a multiple of the sum of its prime factors (196).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (735673) by changing a digit.

735672 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 4797 + ... + 4947.

It is an arithmetic number, because the mean of its divisors is an integer number (34200).

2⁷³⁵⁶⁷² 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 735672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094400).

735672 is an abundant number, since it is smaller than the sum of its proper divisors (1453128).

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

735672 is a wasteful number, since it uses less digits than its factorization.

735672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 192 counting only the distinct ones).

The product of its digits is 8820, while the sum is 30.

The square root of 735672 is about 857.7132387925. The cubic root of 735672 is about 90.2737344952.

The spelling of 735672 in words is "seven hundred thirty-five thousand, six hundred seventy-two".