73008108 has 96 divisors (see below), whose sum is σ = 203750400. Its totient is φ = 22534848.

The previous prime is 73008107. The next prime is 73008113. The reversal of 73008108 is 80180037.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (73008101) 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, 96066 + ... + 96822.

It is an arithmetic number, because the mean of its divisors is an integer number (2122400).

Almost surely, 2^73008108 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 73008108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101875200).

73008108 is an abundant number, since it is smaller than the sum of its proper divisors (130742292).

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

73008108 is a wasteful number, since it uses less digits than its factorization.

73008108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 73008108 is about 8544.4782169539. The cubic root of 73008108 is about 417.9493921622.

It can be divided in two parts, 73008 and 108, that multiplied together give a square (7884864 = 2808²).

The spelling of 73008108 in words is "seventy-three million, eight thousand, one hundred eight".