73292328 has 48 divisors (see below), whose sum is σ = 200447520. Its totient is φ = 24191136.

The previous prime is 73292281. The next prime is 73292333. The reversal of 73292328 is 82329237.

73292328 is a `hidden beast` number, since 7 + 329 + 2 + 328 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 73292292 and 73292301.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2475 + ... + 12357.

It is an arithmetic number, because the mean of its divisors is an integer number (4175990).

Almost surely, 2^73292328 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 73292328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100223760).

73292328 is an abundant number, since it is smaller than the sum of its proper divisors (127155192).

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

73292328 is a wasteful number, since it uses less digits than its factorization.

73292328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9998 (or 9991 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 73292328 is about 8561.0938553435. The cubic root of 73292328 is about 418.4910477995.

The spelling of 73292328 in words is "seventy-three million, two hundred ninety-two thousand, three hundred twenty-eight".