73522080 has 288 divisors, whose sum is σ = 272982528. Its totient is φ = 18662400.

The previous prime is 73522069. The next prime is 73522081. The reversal of 73522080 is 8022537.

73522080 = 1525² + 1526² + ... + 1555².

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73522081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1205250 + ... + 1205310.

It is an arithmetic number, because the mean of its divisors is an integer number (947856).

Almost surely, 2^73522080 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 73522080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136491264).

73522080 is an abundant number, since it is smaller than the sum of its proper divisors (199460448).

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

73522080 is a wasteful number, since it uses less digits than its factorization.

73522080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 73522080 is about 8574.5017347949. The cubic root of 73522080 is about 418.9278777974.

The spelling of 73522080 in words is "seventy-three million, five hundred twenty-two thousand, eighty".