672721824 has 96 divisors (see below), whose sum is σ = 1930231296. Its totient is φ = 204226560.

The previous prime is 672721817. The next prime is 672721831. The reversal of 672721824 is 428127276.

It is an interprime number because it is at equal distance from previous prime (672721817) and next prime (672721831).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×672721824³ (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43944 + ... + 57240.

It is an arithmetic number, because the mean of its divisors is an integer number (20106576).

Almost surely, 2^672721824 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 672721824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965115648).

672721824 is an abundant number, since it is smaller than the sum of its proper divisors (1257509472).

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

672721824 is a wasteful number, since it uses less digits than its factorization.

672721824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13358 (or 13350 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 672721824 is about 25936.8815396146. The cubic root of 672721824 is about 876.2173310355.

It can be divided in two parts, 67272 and 1824, that added together give a palindrome (69096).

The spelling of 672721824 in words is "six hundred seventy-two million, seven hundred twenty-one thousand, eight hundred twenty-four".