73147536 has 200 divisors, whose sum is σ = 264310464. Its totient is φ = 18973440.

The previous prime is 73147523. The next prime is 73147553. The reversal of 73147536 is 63574137.

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

Its product of digits (52920) is a multiple of the sum of its prime divisors (756).

It is a self number, because there is not a number n which added to its sum of digits gives 73147536.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 99426 + ... + 100158.

Almost surely, 2^73147536 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 73147536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132155232).

73147536 is an abundant number, since it is smaller than the sum of its proper divisors (191162928).

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

73147536 is a wasteful number, since it uses less digits than its factorization.

73147536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 756 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 73147536 is about 8552.6332787043. The cubic root of 73147536 is about 418.2152840491.

The spelling of 73147536 in words is "seventy-three million, one hundred forty-seven thousand, five hundred thirty-six".