1672369216 has 224 divisors, whose sum is σ = 4169664000. Its totient is φ = 663828480.

The previous prime is 1672369199. The next prime is 1672369273. The reversal of 1672369216 is 6129632761.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23554461 + ... + 23554531.

Almost surely, 2^1672369216 is an apocalyptic number.

1672369216 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 1672369216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084832000).

1672369216 is an abundant number, since it is smaller than the sum of its proper divisors (2497294784).

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

1672369216 is an equidigital number, since it uses as much as digits as its factorization.

1672369216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 146 counting only the distinct ones).

The product of its digits is 163296, while the sum is 43.

The square root of 1672369216 is about 40894.6110875259. The cubic root of 1672369216 is about 1186.9817861663.

The spelling of 1672369216 in words is "one billion, six hundred seventy-two million, three hundred sixty-nine thousand, two hundred sixteen".