73684240 has 60 divisors (see below), whose sum is σ = 199296396. Its totient is φ = 25261824.

The previous prime is 73684231. The next prime is 73684253. The reversal of 73684240 is 4248637.

It can be written as a sum of positive squares in 2 ways, for example, as 44782864 + 28901376 = 6692^2 + 5376^2 .

It is a junction number, because it is equal to n+sod(n) for n = 73684196 and 73684205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5479 + ... + 13318.

Almost surely, 2^73684240 is an apocalyptic number.

73684240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

73684240 is an abundant number, since it is smaller than the sum of its proper divisors (125612156).

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

73684240 is a wasteful number, since it uses less digits than its factorization.

73684240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18824 (or 18811 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 73684240 is about 8583.9524695795. The cubic root of 73684240 is about 419.2356468434.

The spelling of 73684240 in words is "seventy-three million, six hundred eighty-four thousand, two hundred forty".