73138464 has 240 divisors, whose sum is σ = 256132800. Its totient is φ = 20030976.

The previous prime is 73138453. The next prime is 73138469. The reversal of 73138464 is 46483137.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (73138469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 526107 + ... + 526245.

It is an arithmetic number, because the mean of its divisors is an integer number (1067220).

Almost surely, 2^73138464 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 73138464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128066400).

73138464 is an abundant number, since it is smaller than the sum of its proper divisors (182994336).

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

73138464 is a wasteful number, since it uses less digits than its factorization.

73138464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 180 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 73138464 is about 8552.1028992874. The cubic root of 73138464 is about 418.1979938522.

The spelling of 73138464 in words is "seventy-three million, one hundred thirty-eight thousand, four hundred sixty-four".