672480 has 72 divisors (see below), whose sum is σ = 2299752. Its totient is φ = 178944.

The previous prime is 672473. The next prime is 672493. The reversal of 672480 is 84276.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

672480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1207 + ... + 1673.

It is an arithmetic number, because the mean of its divisors is an integer number (31941).

2⁶⁷²⁴⁸⁰ is an apocalyptic number.

672480 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 672480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149876).

672480 is an abundant number, since it is smaller than the sum of its proper divisors (1627272).

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

672480 is a wasteful number, since it uses less digits than its factorization.

672480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 672480 is about 820.0487790370. The cubic root of 672480 is about 87.6112326873.

The spelling of 672480 in words is "six hundred seventy-two thousand, four hundred eighty".