73689952 has 48 divisors (see below), whose sum is σ = 168551712. Its totient is φ = 31057920.

The previous prime is 73689947. The next prime is 73689983. The reversal of 73689952 is 25998637.

It is a junction number, because it is equal to n+sod(n) for n = 73689896 and 73689905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10968 + ... + 16360.

It is an arithmetic number, because the mean of its divisors is an integer number (3511494).

Almost surely, 2^73689952 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 73689952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84275856).

73689952 is an abundant number, since it is smaller than the sum of its proper divisors (94861760).

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

73689952 is a wasteful number, since it uses less digits than its factorization.

73689952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5471 (or 5463 counting only the distinct ones).

The product of its digits is 816480, while the sum is 49.

The square root of 73689952 is about 8584.2851769964. The cubic root of 73689952 is about 419.2464796083.

The spelling of 73689952 in words is "seventy-three million, six hundred eighty-nine thousand, nine hundred fifty-two".