720480672 has 288 divisors, whose sum is σ = 2309658624. Its totient is φ = 211968000.

The previous prime is 720480667. The next prime is 720480679. The reversal of 720480672 is 276084027.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (720480679) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7133422 + ... + 7133522.

It is an arithmetic number, because the mean of its divisors is an integer number (8019648).

Almost surely, 2^720480672 is an apocalyptic number.

720480672 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 720480672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154829312).

720480672 is an abundant number, since it is smaller than the sum of its proper divisors (1589177952).

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

720480672 is a wasteful number, since it uses less digits than its factorization.

720480672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 720480672 is about 26841.7710294980. The cubic root of 720480672 is about 896.4803573303.

The spelling of 720480672 in words is "seven hundred twenty million, four hundred eighty thousand, six hundred seventy-two".