736713120 has 192 divisors, whose sum is σ = 2726607744. Its totient is φ = 164843520.

The previous prime is 736713113. The next prime is 736713143. The reversal of 736713120 is 21317637.

736713120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63274 + ... + 74006.

It is an arithmetic number, because the mean of its divisors is an integer number (14201082).

Almost surely, 2^736713120 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 736713120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363303872).

736713120 is an abundant number, since it is smaller than the sum of its proper divisors (1989894624).

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

736713120 is a wasteful number, since it uses less digits than its factorization.

736713120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10775 (or 10767 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 736713120 is about 27142.4597264139. The cubic root of 736713120 is about 903.1629942868.

The spelling of 736713120 in words is "seven hundred thirty-six million, seven hundred thirteen thousand, one hundred twenty".