73452000 has 96 divisors (see below), whose sum is σ = 240668064. Its totient is φ = 19584000.

The previous prime is 73451977. The next prime is 73452007. The reversal of 73452000 is 25437.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73452007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8940 + ... + 15060.

It is an arithmetic number, because the mean of its divisors is an integer number (2506959).

Almost surely, 2^73452000 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 73452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120334032).

73452000 is an abundant number, since it is smaller than the sum of its proper divisors (167216064).

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

73452000 is a wasteful number, since it uses less digits than its factorization.

73452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6149 (or 6131 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 73452000 is about 8570.4142256953. The cubic root of 73452000 is about 418.7947305006.

Adding to 73452000 its reverse (25437), we get a palindrome (73477437).

The spelling of 73452000 in words is "seventy-three million, four hundred fifty-two thousand".