73688010 has 64 divisors (see below), whose sum is σ = 197074944. Its totient is φ = 17480000.

The previous prime is 73688003. The next prime is 73688063. The reversal of 73688010 is 1088637.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13135 + ... + 17885.

It is an arithmetic number, because the mean of its divisors is an integer number (3079296).

Almost surely, 2^73688010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73688010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98537472).

73688010 is an abundant number, since it is smaller than the sum of its proper divisors (123386934).

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

73688010 is a wasteful number, since it uses less digits than its factorization.

73688010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4819.

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 73688010 is about 8584.1720625812. The cubic root of 73688010 is about 419.2427966827.

The spelling of 73688010 in words is "seventy-three million, six hundred eighty-eight thousand, ten".