73381464 has 160 divisors (see below), whose sum is σ = 229299840. Its totient is φ = 21772800.

The previous prime is 73381463. The next prime is 73381501. The reversal of 73381464 is 46418337.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73381463) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 261004 + ... + 261284.

It is an arithmetic number, because the mean of its divisors is an integer number (1433124).

Almost surely, 2^73381464 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 73381464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114649920).

73381464 is an abundant number, since it is smaller than the sum of its proper divisors (155918376).

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

73381464 is a wasteful number, since it uses less digits than its factorization.

73381464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 330 counting only the distinct ones).

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

The square root of 73381464 is about 8566.2981503097. The cubic root of 73381464 is about 418.6606312886.

The spelling of 73381464 in words is "seventy-three million, three hundred eighty-one thousand, four hundred sixty-four".