672624225 has 243 divisors, whose sum is σ = 1601607033. Its totient is φ = 268894080.

The previous prime is 672624223. The next prime is 672624241. The reversal of 672624225 is 522426276.

The square root of 672624225 is 25935.

It is a perfect power (a square), and thus also a powerful number.

672624225 is a `hidden beast` number, since 6 + 7 + 2 + 624 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 173369889 + 499254336 = 13167^2 + 22344^2 .

It is not a de Polignac number, because 672624225 - 2¹ = 672624223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 672624225.

It is not an unprimeable number, because it can be changed into a prime (672624223) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 35401266 + ... + 35401284.

Almost surely, 2^672624225 is an apocalyptic number.

672624225 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

672624225 is the 25935-th square number.

672624225 is the 12968-th centered octagonal number.

It is an amenable number.

672624225 is an abundant number, since it is smaller than the sum of its proper divisors (928982808).

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

672624225 is a wasteful number, since it uses less digits than its factorization.

672624225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 47 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The cubic root of 672624225 is about 876.1749548911.

Multiplying 672624225 by its sum of digits (36), we get a square (24214472100 = 155610²).

The spelling of 672624225 in words is "six hundred seventy-two million, six hundred twenty-four thousand, two hundred twenty-five".