1672263216 has 120 divisors (see below), whose sum is σ = 5055457680. Its totient is φ = 512967168.

The previous prime is 1672263181. The next prime is 1672263217. The reversal of 1672263216 is 6123622761.

1672263216 is a `hidden beast` number, since 1 + 6 + 7 + 2 + 2 + 632 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1672263217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 708310 + ... + 710666.

It is an arithmetic number, because the mean of its divisors is an integer number (42128814).

Almost surely, 2^1672263216 is an apocalyptic number.

1672263216 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 1672263216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527728840).

1672263216 is an abundant number, since it is smaller than the sum of its proper divisors (3383194464).

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

1672263216 is a wasteful number, since it uses less digits than its factorization.

1672263216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763 (or 2754 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 1672263216 is about 40893.3150527076. The cubic root of 1672263216 is about 1186.9567074284.

Adding to 1672263216 its reverse (6123622761), we get a palindrome (7795885977).

The spelling of 1672263216 in words is "one billion, six hundred seventy-two million, two hundred sixty-three thousand, two hundred sixteen".