73222464 has 168 divisors, whose sum is σ = 231879648. Its totient is φ = 20321280.

The previous prime is 73222459. The next prime is 73222489. The reversal of 73222464 is 46422237.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404454 + ... + 404634.

It is an arithmetic number, because the mean of its divisors is an integer number (1380236).

Almost surely, 2^73222464 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 73222464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115939824).

73222464 is an abundant number, since it is smaller than the sum of its proper divisors (158657184).

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

73222464 is a wasteful number, since it uses less digits than its factorization.

73222464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 236 counting only the distinct ones).

The product of its digits is 16128, while the sum is 30.

The square root of 73222464 is about 8557.0125628048. The cubic root of 73222464 is about 418.3580336345.

The spelling of 73222464 in words is "seventy-three million, two hundred twenty-two thousand, four hundred sixty-four".