748416672 has 144 divisors (see below), whose sum is σ = 2229907680. Its totient is φ = 246903552.

The previous prime is 748416671. The next prime is 748416701. The reversal of 748416672 is 276614847.

748416672 is a `hidden beast` number, since 7 + 484 + 166 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (748416671) 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, 847143 + ... + 848025.

It is an arithmetic number, because the mean of its divisors is an integer number (15485470).

Almost surely, 2^748416672 is an apocalyptic number.

748416672 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 748416672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114953840).

748416672 is an abundant number, since it is smaller than the sum of its proper divisors (1481491008).

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

748416672 is a wasteful number, since it uses less digits than its factorization.

748416672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 997 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 748416672 is about 27357.2051204066. The cubic root of 748416672 is about 907.9204908806.

The spelling of 748416672 in words is "seven hundred forty-eight million, four hundred sixteen thousand, six hundred seventy-two".