73528000 has 224 divisors, whose sum is σ = 226332288. Its totient is φ = 23040000.

The previous prime is 73527989. The next prime is 73528019. The reversal of 73528000 is 82537.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 727950 + ... + 728050.

It is an arithmetic number, because the mean of its divisors is an integer number (1010412).

Almost surely, 2^73528000 is an apocalyptic number.

73528000 is a gapful number since it is divisible by the number (70) 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 73528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113166144).

73528000 is an abundant number, since it is smaller than the sum of its proper divisors (152804288).

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

73528000 is a wasteful number, since it uses less digits than its factorization.

73528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 73528000 is about 8574.8469374094. The cubic root of 73528000 is about 418.9391215239.

The spelling of 73528000 in words is "seventy-three million, five hundred twenty-eight thousand".