73635072 has 72 divisors (see below), whose sum is σ = 223989696. Its totient is φ = 21037056.

The previous prime is 73635071. The next prime is 73635091. The reversal of 73635072 is 27053637.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73635071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1473 + ... + 12224.

It is an arithmetic number, because the mean of its divisors is an integer number (3110968).

Almost surely, 2^73635072 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 73635072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111994848).

73635072 is an abundant number, since it is smaller than the sum of its proper divisors (150354624).

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

73635072 is a wasteful number, since it uses less digits than its factorization.

73635072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13723 (or 13709 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 33.

The square root of 73635072 is about 8581.0880428999. The cubic root of 73635072 is about 419.1423769444.

The spelling of 73635072 in words is "seventy-three million, six hundred thirty-five thousand, seventy-two".