73618752 has 112 divisors (see below), whose sum is σ = 205548992. Its totient is φ = 23224320.

The previous prime is 73618751. The next prime is 73618763. The reversal of 73618752 is 25781637.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

Its product of digits (70560) is a multiple of the sum of its prime factors (336).

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 73618752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73618751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305352 + ... + 305592.

Almost surely, 2^73618752 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 73618752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102774496).

73618752 is an abundant number, since it is smaller than the sum of its proper divisors (131930240).

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

73618752 is a wasteful number, since it uses less digits than its factorization.

73618752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 326 counting only the distinct ones).

The product of its digits is 70560, while the sum is 39.

The square root of 73618752 is about 8580.1370618423. The cubic root of 73618752 is about 419.1114093234. Note that the first 3 decimals are identical.

The spelling of 73618752 in words is "seventy-three million, six hundred eighteen thousand, seven hundred fifty-two".