73142856 has 96 divisors (see below), whose sum is σ = 210662400. Its totient is φ = 22861440.

The previous prime is 73142833. The next prime is 73142879. The reversal of 73142856 is 65824137.

It is an interprime number because it is at equal distance from previous prime (73142833) and next prime (73142879).

It is a super-3 number, since 3×73142856³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 73142856.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173526 + ... + 173946.

It is an arithmetic number, because the mean of its divisors is an integer number (2194400).

Almost surely, 2^73142856 is an apocalyptic number.

73142856 is a gapful number since it is divisible by the number (76) 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 73142856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105331200).

73142856 is an abundant number, since it is smaller than the sum of its proper divisors (137519544).

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

73142856 is a wasteful number, since it uses less digits than its factorization.

73142856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 572 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 73142856 is about 8552.3596743823. The cubic root of 73142856 is about 418.2063646816.

The spelling of 73142856 in words is "seventy-three million, one hundred forty-two thousand, eight hundred fifty-six".