73058496 has 112 divisors (see below), whose sum is σ = 232623360. Its totient is φ = 19768320.

The previous prime is 73058467. The next prime is 73058501. The reversal of 73058496 is 69485037.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24106 + ... + 26966.

Almost surely, 2^73058496 is an apocalyptic number.

73058496 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 73058496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116311680).

73058496 is an abundant number, since it is smaller than the sum of its proper divisors (159564864).

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

73058496 is a wasteful number, since it uses less digits than its factorization.

73058496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2902 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 73058496 is about 8547.4262792960. The cubic root of 73058496 is about 418.0455220830.

It can be divided in two parts, 7 and 3058496, that added together give a palindrome (3058503).

The spelling of 73058496 in words is "seventy-three million, fifty-eight thousand, four hundred ninety-six".