73540032 has 84 divisors (see below), whose sum is σ = 205547976. Its totient is φ = 23201280.

The previous prime is 73540031. The next prime is 73540037. The reversal of 73540032 is 23004537.

It is a super-2 number, since 2×73540032² = 10816272613122048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 73539984 and 73540011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73540031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68782 + ... + 69842.

Almost surely, 2^73540032 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 73540032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102773988).

73540032 is an abundant number, since it is smaller than the sum of its proper divisors (132007944).

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

73540032 is a wasteful number, since it uses less digits than its factorization.

73540032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 73540032 is about 8575.5484955774. The cubic root of 73540032 is about 418.9619717786.

Adding to 73540032 its reverse (23004537), we get a palindrome (96544569).

The spelling of 73540032 in words is "seventy-three million, five hundred forty thousand, thirty-two".