73152000 has 240 divisors, whose sum is σ = 265554432. Its totient is φ = 19353600.

The previous prime is 73151999. The next prime is 73152041. The reversal of 73152000 is 25137.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575937 + ... + 576063.

Almost surely, 2^73152000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132777216).

73152000 is an abundant number, since it is smaller than the sum of its proper divisors (192402432).

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

73152000 is a wasteful number, since it uses less digits than its factorization.

73152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 137 counting only the distinct ones).

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

The square root of 73152000 is about 8552.8942469786. The cubic root of 73152000 is about 418.2237913991.

Adding to 73152000 its reverse (25137), we get a palindrome (73177137).

The spelling of 73152000 in words is "seventy-three million, one hundred fifty-two thousand".