741837672 has 72 divisors (see below), whose sum is σ = 2120527890. Its totient is φ = 234256320.

The previous prime is 741837671. The next prime is 741837703. The reversal of 741837672 is 276738147.

741837672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 693479556 + 48358116 = 26334^2 + 6954^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (741837671) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11722 + ... + 40262.

Almost surely, 2^741837672 is an apocalyptic number.

741837672 is a gapful number since it is divisible by the number (72) 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 741837672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060263945).

741837672 is an abundant number, since it is smaller than the sum of its proper divisors (1378690218).

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

741837672 is a wasteful number, since it uses less digits than its factorization.

741837672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28591 (or 28565 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 741837672 is about 27236.6971565937. The cubic root of 741837672 is about 905.2522813448.

It can be divided in two parts, 74183767 and 2, that added together give a square (74183769 = 8613²).

The spelling of 741837672 in words is "seven hundred forty-one million, eight hundred thirty-seven thousand, six hundred seventy-two".