736372 has 54 divisors (see below), whose sum is σ = 1714902. Its totient is φ = 274176.

The previous prime is 736369. The next prime is 736381. The reversal of 736372 is 273637.

It can be written as a sum of positive squares in 3 ways, for example, as 164836 + 571536 = 406^2 + 756^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 7⁵ + 3³ + 3¹¹ + 6⁴ + 7⁵ + 2¹⁹ .

It is a self number, because there is not a number n which added to its sum of digits gives 736372.

It is a congruent number.

It is an unprimeable 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 17 ways as a sum of consecutive naturals, for example, 43308 + ... + 43324.

2⁷³⁶³⁷² 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 736372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857451).

736372 is an abundant number, since it is smaller than the sum of its proper divisors (978530).

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

736372 is a wasteful number, since it uses less digits than its factorization.

736372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 39 counting only the distinct ones).

The product of its digits is 5292, while the sum is 28.

The square root of 736372 is about 858.1212035604. The cubic root of 736372 is about 90.3023575692.

The spelling of 736372 in words is "seven hundred thirty-six thousand, three hundred seventy-two".