73276320 has 96 divisors (see below), whose sum is σ = 248596992. Its totient is φ = 18035712.

The previous prime is 73276303. The next prime is 73276327. The reversal of 73276320 is 2367237.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (73276327) 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, 369 + ... + 12111.

It is an arithmetic number, because the mean of its divisors is an integer number (2589552).

Almost surely, 2^73276320 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 73276320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124298496).

73276320 is an abundant number, since it is smaller than the sum of its proper divisors (175320672).

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

73276320 is a wasteful number, since it uses less digits than its factorization.

73276320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11774 (or 11766 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 30.

The square root of 73276320 is about 8560.1588770303. The cubic root of 73276320 is about 418.4605776140.

The spelling of 73276320 in words is "seventy-three million, two hundred seventy-six thousand, three hundred twenty".