73478538 has 72 divisors (see below), whose sum is σ = 186518592. Its totient is φ = 20844432.

The previous prime is 73478533. The next prime is 73478549. The reversal of 73478538 is 83587437.

73478538 is a `hidden beast` number, since 73 + 47 + 8 + 538 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 73478493 and 73478502.

It is not an unprimeable number, because it can be changed into a prime (73478533) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 200031 + ... + 200397.

It is an arithmetic number, because the mean of its divisors is an integer number (2590536).

Almost surely, 2^73478538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73478538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93259296).

73478538 is an abundant number, since it is smaller than the sum of its proper divisors (113040054).

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

73478538 is a wasteful number, since it uses less digits than its factorization.

73478538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 606 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 73478538 is about 8571.9623190959. The cubic root of 73478538 is about 418.8451608784.

It can be divided in two parts, 7347853 and 8, that added together give a triangular number (7347861 = T₃₈₃₃).

The spelling of 73478538 in words is "seventy-three million, four hundred seventy-eight thousand, five hundred thirty-eight".