73016160 has 192 divisors, whose sum is σ = 271724544. Its totient is φ = 16128000.

The previous prime is 73016159. The next prime is 73016213. The reversal of 73016160 is 6161037.

It is a super-2 number, since 2×73016160² = 10662719242291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 73016160.

It is a congruent number.

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, 103810 + ... + 104510.

It is an arithmetic number, because the mean of its divisors is an integer number (1415232).

Almost surely, 2^73016160 is an apocalyptic number.

73016160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73016160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135862272).

73016160 is an abundant number, since it is smaller than the sum of its proper divisors (198708384).

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

73016160 is a wasteful number, since it uses less digits than its factorization.

73016160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 73016160 is about 8544.9493854557. The cubic root of 73016160 is about 417.9647566876.

Adding to 73016160 its reverse (6161037), we get a palindrome (79177197).

The spelling of 73016160 in words is "seventy-three million, sixteen thousand, one hundred sixty".