672728013720 has 384 divisors, whose sum is σ = 2599026393600. Its totient is φ = 153304897536.

The previous prime is 672728013709. The next prime is 672728013781. The reversal of 672728013720 is 27310827276.

672728013720 is a `hidden beast` number, since 6 + 7 + 272 + 8 + 0 + 1 + 372 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22914811 + ... + 22944149.

It is an arithmetic number, because the mean of its divisors is an integer number (6768297900).

Almost surely, 2^672728013720 is an apocalyptic number.

672728013720 is a gapful number since it is divisible by the number (60) 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 672728013720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299513196800).

672728013720 is an abundant number, since it is smaller than the sum of its proper divisors (1926298379880).

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

672728013720 is a wasteful number, since it uses less digits than its factorization.

672728013720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29709 (or 29693 counting only the distinct ones).

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

The spelling of 672728013720 in words is "six hundred seventy-two billion, seven hundred twenty-eight million, thirteen thousand, seven hundred twenty".