73680240 has 80 divisors (see below), whose sum is σ = 229235328. Its totient is φ = 19577088.

The previous prime is 73680151. The next prime is 73680241. The reversal of 73680240 is 4208637.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 73680198 and 73680207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73680241) 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, 125227 + ... + 125813.

Almost surely, 2^73680240 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 73680240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114617664).

73680240 is an abundant number, since it is smaller than the sum of its proper divisors (155555088).

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

73680240 is a wasteful number, since it uses less digits than its factorization.

73680240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1120 counting only the distinct ones).

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

The square root of 73680240 is about 8583.7194735150. The cubic root of 73680240 is about 419.2280605403.

Adding to 73680240 its reverse (4208637), we get a palindrome (77888877).

It can be divided in two parts, 73680 and 240, that added together give a triangular number (73920 = T₃₈₄).

The spelling of 73680240 in words is "seventy-three million, six hundred eighty thousand, two hundred forty".