73923072 has 160 divisors (see below), whose sum is σ = 220968000. Its totient is φ = 21823488.

The previous prime is 73923071. The next prime is 73923079. The reversal of 73923072 is 27032937.

It is not an unprimeable number, because it can be changed into a prime (73923071) 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, 496054 + ... + 496202.

It is an arithmetic number, because the mean of its divisors is an integer number (1381050).

Almost surely, 2^73923072 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 73923072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110484000).

73923072 is an abundant number, since it is smaller than the sum of its proper divisors (147044928).

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

73923072 is a wasteful number, since it uses less digits than its factorization.

73923072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 33.

The square root of 73923072 is about 8597.8527551942. The cubic root of 73923072 is about 419.6881131251.

The spelling of 73923072 in words is "seventy-three million, nine hundred twenty-three thousand, seventy-two".