738720 has 144 divisors (see below), whose sum is σ = 2751840. Its totient is φ = 186624.

The previous prime is 738713. The next prime is 738721. The reversal of 738720 is 27837.

738720 is a nontrivial binomial coefficient, being equal to C(1216, 2).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (738721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38871 + ... + 38889.

It is an arithmetic number, because the mean of its divisors is an integer number (19110).

2⁷³⁸⁷²⁰ is an apocalyptic number.

738720 is the 1215-th triangular number and also the 608-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 738720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375920).

738720 is an abundant number, since it is smaller than the sum of its proper divisors (2013120).

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

738720 is a wasteful number, since it uses less digits than its factorization.

738720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 738720 is about 859.4882198146. The cubic root of 738720 is about 90.3982352750.

The spelling of 738720 in words is "seven hundred thirty-eight thousand, seven hundred twenty".