73932768 has 324 divisors, whose sum is σ = 273375648. Its totient is φ = 18869760.

The previous prime is 73932763. The next prime is 73932809. The reversal of 73932768 is 86723937.

It is a happy number.

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

Its product of digits (381024) is a multiple of the sum of its prime divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73932763) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2384913 + ... + 2384943.

It is an arithmetic number, because the mean of its divisors is an integer number (843752).

Almost surely, 2^73932768 is an apocalyptic number.

73932768 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73932768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136687824).

73932768 is an abundant number, since it is smaller than the sum of its proper divisors (199442880).

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

73932768 is a wasteful number, since it uses less digits than its factorization.

73932768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 56 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 73932768 is about 8598.4165984209. The cubic root of 73932768 is about 419.7064615601.

The spelling of 73932768 in words is "seventy-three million, nine hundred thirty-two thousand, seven hundred sixty-eight".