73086240 has 96 divisors (see below), whose sum is σ = 235642176. Its totient is φ = 19031040.

The previous prime is 73086229. The next prime is 73086257. The reversal of 73086240 is 4268037.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 73086198 and 73086207.

It is an unprimeable number.

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, 18870 + ... + 22410.

It is an arithmetic number, because the mean of its divisors is an integer number (2454606).

Almost surely, 2^73086240 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 73086240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117821088).

73086240 is an abundant number, since it is smaller than the sum of its proper divisors (162555936).

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

73086240 is a wasteful number, since it uses less digits than its factorization.

73086240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3602 (or 3594 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 73086240 is about 8549.0490699258. The cubic root of 73086240 is about 418.0984330505.

The spelling of 73086240 in words is "seventy-three million, eighty-six thousand, two hundred forty".