672121120 has 144 divisors (see below), whose sum is σ = 1764617400. Its totient is φ = 241725440.

The previous prime is 672121117. The next prime is 672121133. The reversal of 672121120 is 21121276.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 299013264 + 373107856 = 17292^2 + 19316^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 672121091 and 672121100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2884524 + ... + 2884756.

Almost surely, 2^672121120 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 672121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882308700).

672121120 is an abundant number, since it is smaller than the sum of its proper divisors (1092496280).

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

672121120 is a wasteful number, since it uses less digits than its factorization.

672121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 672121120 is about 25925.2988410934. The cubic root of 672121120 is about 875.9564485621.

Adding to 672121120 its reverse (21121276), we get a palindrome (693242396).

The spelling of 672121120 in words is "six hundred seventy-two million, one hundred twenty-one thousand, one hundred twenty".