73506528 has 168 divisors, whose sum is σ = 228061008. Its totient is φ = 23265792.

The previous prime is 73506523. The next prime is 73506533. The reversal of 73506528 is 82560537.

It is an interprime number because it is at equal distance from previous prime (73506523) and next prime (73506533).

It is a super-2 number, since 2×73506528² = 10806419317229568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 73506492 and 73506501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73506523) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 536476 + ... + 536612.

It is an arithmetic number, because the mean of its divisors is an integer number (1357506).

Almost surely, 2^73506528 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 73506528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114030504).

73506528 is an abundant number, since it is smaller than the sum of its proper divisors (154554480).

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

73506528 is a wasteful number, since it uses less digits than its factorization.

73506528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 73506528 is about 8573.5948119794. The cubic root of 73506528 is about 418.8983373482.

The spelling of 73506528 in words is "seventy-three million, five hundred six thousand, five hundred twenty-eight".