73084032 has 320 divisors, whose sum is σ = 266587200. Its totient is φ = 19408896.

The previous prime is 73084027. The next prime is 73084057. The reversal of 73084032 is 23048037.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 73083987 and 73084005.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1378918 + ... + 1378970.

It is an arithmetic number, because the mean of its divisors is an integer number (833085).

Almost surely, 2^73084032 is an apocalyptic number.

73084032 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 73084032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133293600).

73084032 is an abundant number, since it is smaller than the sum of its proper divisors (193503168).

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

73084032 is a wasteful number, since it uses less digits than its factorization.

73084032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 73084032 is about 8548.9199317809. The cubic root of 73084032 is about 418.0942226335.

The spelling of 73084032 in words is "seventy-three million, eighty-four thousand, thirty-two".