1672507296 has 72 divisors (see below), whose sum is σ = 4763811780. Its totient is φ = 556609536.

The previous prime is 1672507289. The next prime is 1672507297. The reversal of 1672507296 is 6927052761.

It can be written as a sum of positive squares in 2 ways, for example, as 1667578896 + 4928400 = 40836^2 + 2220^2 .

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

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (1672507297) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 189510 + ... + 198138.

Almost surely, 2^1672507296 is an apocalyptic number.

1672507296 is a gapful number since it is divisible by the number (16) 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 1672507296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2381905890).

1672507296 is an abundant number, since it is smaller than the sum of its proper divisors (3091304484).

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

1672507296 is a wasteful number, since it uses less digits than its factorization.

1672507296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9318 (or 9307 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 1672507296 is about 40896.2992946795. The cubic root of 1672507296 is about 1187.0144531820.

The spelling of 1672507296 in words is "one billion, six hundred seventy-two million, five hundred seven thousand, two hundred ninety-six".