153072000 has 192 divisors, whose sum is σ = 550236960. Its totient is φ = 40780800.

The previous prime is 153071993. The next prime is 153072001. The reversal of 153072000 is 270351.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153072001) 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, 143469 + ... + 144531.

Almost surely, 2^153072000 is an apocalyptic number.

153072000 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 153072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275118480).

153072000 is an abundant number, since it is smaller than the sum of its proper divisors (397164960).

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

153072000 is a wasteful number, since it uses less digits than its factorization.

153072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 153072000 is about 12372.2269620307. The cubic root of 153072000 is about 534.9320087119.

The spelling of 153072000 in words is "one hundred fifty-three million, seventy-two thousand".