672581885452272 has 280 divisors, whose sum is σ = 1967782372059600. Its totient is φ = 222593778376704.

The previous prime is 672581885452237. The next prime is 672581885452273. The reversal of 672581885452272 is 272254588185276.

672581885452272 is a `hidden beast` number, since 6 + 7 + 2 + 5 + 8 + 1 + 8 + 8 + 545 + 2 + 2 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 672581885452272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672581885452273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1145542879 + ... + 1146129857.

Almost surely, 2^{672581885452272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672581885452272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983891186029800).

672581885452272 is an abundant number, since it is smaller than the sum of its proper divisors (1295200486607328).

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

672581885452272 is a wasteful number, since it uses less digits than its factorization.

672581885452272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587707 (or 587686 counting only the distinct ones).

The product of its digits is 1204224000, while the sum is 72.

The spelling of 672581885452272 in words is "six hundred seventy-two trillion, five hundred eighty-one billion, eight hundred eighty-five million, four hundred fifty-two thousand, two hundred seventy-two".