73752336 has 160 divisors (see below), whose sum is σ = 250579200. Its totient is φ = 20345472.

The previous prime is 73752331. The next prime is 73752337. The reversal of 73752336 is 63325737.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 73752336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73752331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2543170 + ... + 2543198.

It is an arithmetic number, because the mean of its divisors is an integer number (1566120).

Almost surely, 2^73752336 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 73752336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125289600).

73752336 is an abundant number, since it is smaller than the sum of its proper divisors (176826864).

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

73752336 is an equidigital number, since it uses as much as digits as its factorization.

73752336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 41 counting only the distinct ones).

The product of its digits is 79380, while the sum is 36.

The square root of 73752336 is about 8587.9180247601. The cubic root of 73752336 is about 419.3647539665.

It can be divided in two parts, 73752 and 336, that added together give a cube (74088 = 42³).

The spelling of 73752336 in words is "seventy-three million, seven hundred fifty-two thousand, three hundred thirty-six".