73627488 has 192 divisors, whose sum is σ = 239984640. Its totient is φ = 21772800.

The previous prime is 73627487. The next prime is 73627507. The reversal of 73627488 is 88472637.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73627487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 579681 + ... + 579807.

It is an arithmetic number, because the mean of its divisors is an integer number (1249920).

Almost surely, 2^73627488 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 73627488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119992320).

73627488 is an abundant number, since it is smaller than the sum of its proper divisors (166357152).

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

73627488 is a wasteful number, since it uses less digits than its factorization.

73627488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 204 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 73627488 is about 8580.6461295173. The cubic root of 73627488 is about 419.1279866779.

It can be divided in two parts, 736 and 27488, that added together give a square (28224 = 168²).

The spelling of 73627488 in words is "seventy-three million, six hundred twenty-seven thousand, four hundred eighty-eight".