73204992 has 288 divisors, whose sum is σ = 264902400. Its totient is φ = 19464192.

The previous prime is 73204979. The next prime is 73205029. The reversal of 73204992 is 29940237.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-4 number, since 4×73204992⁴ (a number of 33 digits) contains 4444 as substring.

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

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, 822484 + ... + 822572.

It is an arithmetic number, because the mean of its divisors is an integer number (919800).

Almost surely, 2^73204992 is an apocalyptic number.

73204992 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 73204992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132451200).

73204992 is an abundant number, since it is smaller than the sum of its proper divisors (191697408).

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

73204992 is a wasteful number, since it uses less digits than its factorization.

73204992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 73204992 is about 8555.9915848486. The cubic root of 73204992 is about 418.3247554453.

The spelling of 73204992 in words is "seventy-three million, two hundred four thousand, nine hundred ninety-two".