73712320 has 112 divisors (see below), whose sum is σ = 196339968. Its totient is φ = 26127360.

The previous prime is 73712281. The next prime is 73712321. The reversal of 73712320 is 2321737.

It is a super-2 number, since 2×73712320² = 10867012239564800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (73712321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151117 + ... + 151603.

Almost surely, 2^73712320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98169984).

73712320 is an abundant number, since it is smaller than the sum of its proper divisors (122627648).

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

73712320 is a wasteful number, since it uses less digits than its factorization.

73712320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 25.

The square root of 73712320 is about 8585.5879239572. The cubic root of 73712320 is about 419.2888949639.

The spelling of 73712320 in words is "seventy-three million, seven hundred twelve thousand, three hundred twenty".