672300 has 90 divisors (see below), whose sum is σ = 2205588. Its totient is φ = 177120.

The previous prime is 672293. The next prime is 672311. The reversal of 672300 is 3276.

672300 = 5³ + 6³ + ... + 40³.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 672300.

It is an unprimeable 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 29 ways as a sum of consecutive naturals, for example, 8059 + ... + 8141.

2⁶⁷²³⁰⁰ is an apocalyptic number.

672300 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 672300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102794).

672300 is an abundant number, since it is smaller than the sum of its proper divisors (1533288).

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

672300 is a wasteful number, since it uses less digits than its factorization.

672300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 672300 is about 819.9390221230. The cubic root of 672300 is about 87.6034151418.

Adding to 672300 its reverse (3276), we get a palindrome (675576).

The spelling of 672300 in words is "six hundred seventy-two thousand, three hundred".