73724064 has 48 divisors (see below), whose sum is σ = 195995520. Its totient is φ = 24261120.

The previous prime is 73724029. The next prime is 73724081. The reversal of 73724064 is 46042737.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×73724064² = 10870475225352192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2724 + ... + 12444.

It is an arithmetic number, because the mean of its divisors is an integer number (4083240).

Almost surely, 2^73724064 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 73724064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97997760).

73724064 is an abundant number, since it is smaller than the sum of its proper divisors (122271456).

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

73724064 is a wasteful number, since it uses less digits than its factorization.

73724064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9813 (or 9805 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 73724064 is about 8586.2718335725. The cubic root of 73724064 is about 419.3111611075.

The spelling of 73724064 in words is "seventy-three million, seven hundred twenty-four thousand, sixty-four".