73146528 has 144 divisors (see below), whose sum is σ = 256104576. Its totient is φ = 19284480.

The previous prime is 73146527. The next prime is 73146547. The reversal of 73146528 is 82564137.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 73146492 and 73146501.

It is not an unprimeable number, because it can be changed into a prime (73146527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24813 + ... + 27603.

It is an arithmetic number, because the mean of its divisors is an integer number (1778504).

Almost surely, 2^73146528 is an apocalyptic number.

73146528 is a gapful number since it is divisible by the number (78) 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 73146528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128052288).

73146528 is an abundant number, since it is smaller than the sum of its proper divisors (182958048).

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

73146528 is a wasteful number, since it uses less digits than its factorization.

73146528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2827 (or 2816 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 73146528 is about 8552.5743492822. The cubic root of 73146528 is about 418.2133629867.

The spelling of 73146528 in words is "seventy-three million, one hundred forty-six thousand, five hundred twenty-eight".