73520538 has 96 divisors (see below), whose sum is σ = 191511936. Its totient is φ = 18320256.

The previous prime is 73520527. The next prime is 73520567. The reversal of 73520538 is 83502537.

It is a junction number, because it is equal to n+sod(n) for n = 73520499 and 73520508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196920 + ... + 197292.

It is an arithmetic number, because the mean of its divisors is an integer number (1994916).

Almost surely, 2^73520538 is an apocalyptic number.

73520538 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 73520538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95755968).

73520538 is an abundant number, since it is smaller than the sum of its proper divisors (117991398).

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

73520538 is a wasteful number, since it uses less digits than its factorization.

73520538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 73520538 is about 8574.4118165621. The cubic root of 73520538 is about 418.9249490114.

The spelling of 73520538 in words is "seventy-three million, five hundred twenty thousand, five hundred thirty-eight".