73678540 has 48 divisors (see below), whose sum is σ = 167438880. Its totient is φ = 27072000.

The previous prime is 73678511. The next prime is 73678543. The reversal of 73678540 is 4587637.

It is a junction number, because it is equal to n+sod(n) for n = 73678493 and 73678502.

It is not an unprimeable number, because it can be changed into a prime (73678543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64696 + ... + 65824.

It is an arithmetic number, because the mean of its divisors is an integer number (3488310).

Almost surely, 2^73678540 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 73678540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83719440).

73678540 is an abundant number, since it is smaller than the sum of its proper divisors (93760340).

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

73678540 is a wasteful number, since it uses less digits than its factorization.

73678540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 73678540 is about 8583.6204482724. The cubic root of 73678540 is about 419.2248362783.

The spelling of 73678540 in words is "seventy-three million, six hundred seventy-eight thousand, five hundred forty".