73638080 has 56 divisors (see below), whose sum is σ = 176113440. Its totient is φ = 29327360.

The previous prime is 73638079. The next prime is 73638083. The reversal of 73638080 is 8083637.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 73638080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73638083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114560 + ... + 115200.

Almost surely, 2^73638080 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 73638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88056720).

73638080 is an abundant number, since it is smaller than the sum of its proper divisors (102475360).

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

73638080 is a wasteful number, since it uses less digits than its factorization.

73638080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 73638080 is about 8581.2633102592. The cubic root of 73638080 is about 419.1480842026.

The spelling of 73638080 in words is "seventy-three million, six hundred thirty-eight thousand, eighty".