73769280 has 224 divisors, whose sum is σ = 264225024. Its totient is φ = 17301504.

The previous prime is 73769251. The next prime is 73769281. The reversal of 73769280 is 8296737.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73769281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286912 + ... + 287168.

It is an arithmetic number, because the mean of its divisors is an integer number (1179576).

Almost surely, 2^73769280 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 73769280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132112512).

73769280 is an abundant number, since it is smaller than the sum of its proper divisors (190455744).

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

73769280 is a wasteful number, since it uses less digits than its factorization.

73769280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 73769280 is about 8588.9044703035. The cubic root of 73769280 is about 419.3968667224.

The spelling of 73769280 in words is "seventy-three million, seven hundred sixty-nine thousand, two hundred eighty".