73141992 has 192 divisors, whose sum is σ = 251596800. Its totient is φ = 18645120.

The previous prime is 73141979. The next prime is 73142009. The reversal of 73141992 is 29914137.

It is a super-3 number, since 3×73141992³ (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 nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 437893 + ... + 438059.

It is an arithmetic number, because the mean of its divisors is an integer number (1310400).

Almost surely, 2^73141992 is an apocalyptic number.

73141992 is a gapful number since it is divisible by the number (72) 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 73141992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125798400).

73141992 is an abundant number, since it is smaller than the sum of its proper divisors (178454808).

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

73141992 is a wasteful number, since it uses less digits than its factorization.

73141992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 269 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 73141992 is about 8552.3091618580. The cubic root of 73141992 is about 418.2047179875.

The spelling of 73141992 in words is "seventy-three million, one hundred forty-one thousand, nine hundred ninety-two".