1672992000 has 432 divisors, whose sum is σ = 6221993232. Its totient is φ = 431308800.

The previous prime is 1672991993. The next prime is 1672992017. The reversal of 1672992000 is 2992761.

1672992000 is a `hidden beast` number, since 167 + 299 + 200 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 363131136 + 1309860864 = 19056^2 + 36192^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10655922 + ... + 10656078.

Almost surely, 2^1672992000 is an apocalyptic number.

1672992000 is a gapful number since it is divisible by the number (10) 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 1672992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110996616).

1672992000 is an abundant number, since it is smaller than the sum of its proper divisors (4549001232).

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

1672992000 is a wasteful number, since it uses less digits than its factorization.

1672992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1672992000 is about 40902.2248783608. The cubic root of 1672992000 is about 1187.1291103963.

The spelling of 1672992000 in words is "one billion, six hundred seventy-two million, nine hundred ninety-two thousand".