73728536 has 64 divisors (see below), whose sum is σ = 163464000. Its totient is φ = 31159296.

The previous prime is 73728481. The next prime is 73728553. The reversal of 73728536 is 63582737.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 73728493 and 73728502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266030 + ... + 266306.

It is an arithmetic number, because the mean of its divisors is an integer number (2554125).

Almost surely, 2^73728536 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 73728536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81732000).

73728536 is an abundant number, since it is smaller than the sum of its proper divisors (89735464).

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

73728536 is a wasteful number, since it uses less digits than its factorization.

73728536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 383 counting only the distinct ones).

The product of its digits is 211680, while the sum is 41.

The square root of 73728536 is about 8586.5322453247. The cubic root of 73728536 is about 419.3196392149.

The spelling of 73728536 in words is "seventy-three million, seven hundred twenty-eight thousand, five hundred thirty-six".