73726080 has 256 divisors, whose sum is σ = 258508800. Its totient is φ = 17805312.

The previous prime is 73726069. The next prime is 73726141. The reversal of 73726080 is 8062737.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1568617 + ... + 1568663.

It is an arithmetic number, because the mean of its divisors is an integer number (1009800).

Almost surely, 2^73726080 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 73726080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129254400).

73726080 is an abundant number, since it is smaller than the sum of its proper divisors (184782720).

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

73726080 is a wasteful number, since it uses less digits than its factorization.

73726080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 73726080 is about 8586.3892294724. The cubic root of 73726080 is about 419.3149831232.

The spelling of 73726080 in words is "seventy-three million, seven hundred twenty-six thousand, eighty".