73738368 has 216 divisors, whose sum is σ = 243814935. Its totient is φ = 21373440.

The previous prime is 73738361. The next prime is 73738409. The reversal of 73738368 is 86383737.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 36869184 + 36869184 = 6072^2 + 6072^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6072.

It is not an unprimeable number, because it can be changed into a prime (73738361) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3206005 + ... + 3206027.

Almost surely, 2^73738368 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 73738368

73738368 is an abundant number, since it is smaller than the sum of its proper divisors (170076567).

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

73738368 is a wasteful number, since it uses less digits than its factorization.

73738368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 39 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 73738368 is about 8587.1047507294. The cubic root of 73738368 is about 419.3382777126.

Multiplying 73738368 by its product of digits (508032), we get a square (37461450571776 = 6120576²).

The spelling of 73738368 in words is "seventy-three million, seven hundred thirty-eight thousand, three hundred sixty-eight".