73086720 has 144 divisors (see below), whose sum is σ = 266864640. Its totient is φ = 16699392.

The previous prime is 73086719. The next prime is 73086721. The reversal of 73086720 is 2768037.

It is an interprime number because it is at equal distance from previous prime (73086719) and next prime (73086721).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73086721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25521 + ... + 28239.

Almost surely, 2^73086720 is an apocalyptic number.

73086720 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 73086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133432320).

73086720 is an abundant number, since it is smaller than the sum of its proper divisors (193777920).

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

73086720 is a wasteful number, since it uses less digits than its factorization.

73086720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750 (or 2736 counting only the distinct ones).

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

The square root of 73086720 is about 8549.0771431775. The cubic root of 73086720 is about 418.0993483473.

It can be divided in two parts, 7308 and 6720, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 73086720 in words is "seventy-three million, eighty-six thousand, seven hundred twenty".