1672473600 has 792 divisors, whose sum is σ = 7365073248. Its totient is φ = 353894400.

The previous prime is 1672473559. The next prime is 1672473611. The reversal of 1672473600 is 63742761.

1672473600 is a `hidden beast` number, since 1 + 6 + 7 + 2 + 47 + 3 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27417570 + ... + 27417630.

Almost surely, 2^1672473600 is an apocalyptic number.

1672473600 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 1672473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3682536624).

1672473600 is an abundant number, since it is smaller than the sum of its proper divisors (5692599648).

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

1672473600 is a wasteful number, since it uses less digits than its factorization.

1672473600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 1672473600 is about 40895.8873237884. The cubic root of 1672473600 is about 1187.0064815361.

The spelling of 1672473600 in words is "one billion, six hundred seventy-two million, four hundred seventy-three thousand, six hundred".