73730048 has 96 divisors (see below), whose sum is σ = 174283200. Its totient is φ = 30523392.

The previous prime is 73730047. The next prime is 73730077. The reversal of 73730048 is 84003737.

It is a super-2 number, since 2×73730048² = 10872239956164608, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) 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 (32).

It is a junction number, because it is equal to n+sod(n) for n = 73729996 and 73730023.

It is not an unprimeable number, because it can be changed into a prime (73730047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 530363 + ... + 530501.

It is an arithmetic number, because the mean of its divisors is an integer number (1815450).

Almost surely, 2^73730048 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 73730048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87141600).

73730048 is an abundant number, since it is smaller than the sum of its proper divisors (100553152).

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

73730048 is a wasteful number, since it uses less digits than its factorization.

73730048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 73730048 is about 8586.6202897298. The cubic root of 73730048 is about 419.3225056173.

The spelling of 73730048 in words is "seventy-three million, seven hundred thirty thousand, forty-eight".