73138632 has 32 divisors (see below), whose sum is σ = 208968000. Its totient is φ = 20896704.

The previous prime is 73138567. The next prime is 73138649. The reversal of 73138632 is 23683137.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 73138593 and 73138602.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217507 + ... + 217842.

It is an arithmetic number, because the mean of its divisors is an integer number (6530250).

Almost surely, 2^73138632 is an apocalyptic number.

It is an amenable number.

73138632 is an abundant number, since it is smaller than the sum of its proper divisors (135829368).

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

73138632 is a wasteful number, since it uses less digits than its factorization.

73138632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435365 (or 435361 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 73138632 is about 8552.1127214274. The cubic root of 73138632 is about 418.1983140540.

The spelling of 73138632 in words is "seventy-three million, one hundred thirty-eight thousand, six hundred thirty-two".