73085720 has 64 divisors (see below), whose sum is σ = 181725120. Its totient is φ = 26312704.

The previous prime is 73085711. The next prime is 73085729. The reversal of 73085720 is 2758037.

It is an interprime number because it is at equal distance from previous prime (73085711) and next prime (73085729).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73085729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13304 + ... + 17976.

It is an arithmetic number, because the mean of its divisors is an integer number (2839455).

Almost surely, 2^73085720 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 73085720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90862560).

73085720 is an abundant number, since it is smaller than the sum of its proper divisors (108639400).

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

73085720 is a wasteful number, since it uses less digits than its factorization.

73085720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4724 (or 4720 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 73085720 is about 8549.0186571325. The cubic root of 73085720 is about 418.0974414744.

The spelling of 73085720 in words is "seventy-three million, eighty-five thousand, seven hundred twenty".