1533672000 has 672 divisors, whose sum is σ = 6675851520. Its totient is φ = 328089600.

The previous prime is 1533671969. The next prime is 1533672011. The reversal of 1533672000 is 2763351.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8567911 + ... + 8568089.

Almost surely, 2^1533672000 is an apocalyptic number.

1533672000 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 1533672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3337925760).

1533672000 is an abundant number, since it is smaller than the sum of its proper divisors (5142179520).

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

1533672000 is a wasteful number, since it uses less digits than its factorization.

1533672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 1533672000 is about 39162.1245593239. The cubic root of 1533672000 is about 1153.2164523058.

The spelling of 1533672000 in words is "one billion, five hundred thirty-three million, six hundred seventy-two thousand".