73059840 has 320 divisors, whose sum is σ = 298552320. Its totient is φ = 16588800.

The previous prime is 73059823. The next prime is 73059851. The reversal of 73059840 is 4895037.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×73059840³ (a number of 25 digits) contains 333 as substring.

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 = 73059795 and 73059804.

It is a congruent number.

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, 483765 + ... + 483915.

It is an arithmetic number, because the mean of its divisors is an integer number (932976).

Almost surely, 2^73059840 is an apocalyptic number.

73059840 is a gapful number since it is divisible by the number (70) 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 73059840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149276160).

73059840 is an abundant number, since it is smaller than the sum of its proper divisors (225492480).

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

73059840 is a wasteful number, since it uses less digits than its factorization.

73059840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 73059840 is about 8547.5048990919. The cubic root of 73059840 is about 418.0480855528.

The spelling of 73059840 in words is "seventy-three million, fifty-nine thousand, eight hundred forty".