73620288 has 252 divisors, whose sum is σ = 262310880. Its totient is φ = 19284480.

The previous prime is 73620271. The next prime is 73620301. The reversal of 73620288 is 88202637.

It is a happy number.

73620288 is a `hidden beast` number, since 7 + 3 + 620 + 28 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

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 35 ways as a sum of consecutive naturals, for example, 2374833 + ... + 2374863.

Almost surely, 2^73620288 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 73620288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131155440).

73620288 is an abundant number, since it is smaller than the sum of its proper divisors (188690592).

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

73620288 is a wasteful number, since it uses less digits than its factorization.

73620288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 73620288 is about 8580.2265704351. The cubic root of 73620288 is about 419.1143241181.

The spelling of 73620288 in words is "seventy-three million, six hundred twenty thousand, two hundred eighty-eight".