672206400 has 126 divisors (see below), whose sum is σ = 2389231442. Its totient is φ = 179251200.

The previous prime is 672206369. The next prime is 672206419. The reversal of 672206400 is 4602276.

It can be written as a sum of positive squares in 3 ways, for example, as 227165184 + 445041216 = 15072^2 + 21096^2 .

It is a super-2 number, since 2×672206400² = 903722888401920000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8941 + ... + 37740.

Almost surely, 2^672206400 is an apocalyptic number.

672206400 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 672206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194615721).

672206400 is an abundant number, since it is smaller than the sum of its proper divisors (1717025042).

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

672206400 is a wasteful number, since it uses less digits than its factorization.

672206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46709 (or 46691 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 672206400 is about 25926.9435144214. The cubic root of 672206400 is about 875.9934946661.

Adding to 672206400 its reverse (4602276), we get a palindrome (676808676).

The spelling of 672206400 in words is "six hundred seventy-two million, two hundred six thousand, four hundred".