73817016 has 128 divisors (see below), whose sum is σ = 230737920. Its totient is φ = 19160064.

The previous prime is 73816997. The next prime is 73817017. The reversal of 73817016 is 61071837.

It is a super-2 number, since 2×73817016² = 10897903702288512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73817017) 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, 159201 + ... + 159663.

It is an arithmetic number, because the mean of its divisors is an integer number (1802640).

Almost surely, 2^73817016 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 73817016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115368960).

73817016 is an abundant number, since it is smaller than the sum of its proper divisors (156920904).

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

73817016 is a wasteful number, since it uses less digits than its factorization.

73817016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 73817016 is about 8591.6829550444. The cubic root of 73817016 is about 419.4873109291.

The spelling of 73817016 in words is "seventy-three million, eight hundred seventeen thousand, sixteen".