741726720 has 600 divisors, whose sum is σ = 3132700164. Its totient is φ = 167215104.

The previous prime is 741726709. The next prime is 741726721. The reversal of 741726720 is 27627147.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 740710656 + 1016064 = 27216^2 + 1008^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (741726721) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10160604 + ... + 10160676.

Almost surely, 2^741726720 is an apocalyptic number.

741726720 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 741726720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566350082).

741726720 is an abundant number, since it is smaller than the sum of its proper divisors (2390973444).

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

741726720 is an equidigital number, since it uses as much as digits as its factorization.

741726720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 741726720 is about 27234.6602695903. The cubic root of 741726720 is about 905.2071481292.

The spelling of 741726720 in words is "seven hundred forty-one million, seven hundred twenty-six thousand, seven hundred twenty".