73720064 has 72 divisors (see below), whose sum is σ = 164239488. Its totient is φ = 32737280.

The previous prime is 73720063. The next prime is 73720067. The reversal of 73720064 is 46002737.

It is not an unprimeable number, because it can be changed into a prime (73720063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132074 + ... + 132630.

It is an arithmetic number, because the mean of its divisors is an integer number (2281104).

Almost surely, 2^73720064 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 73720064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82119744).

73720064 is an abundant number, since it is smaller than the sum of its proper divisors (90519424).

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

73720064 is a wasteful number, since it uses less digits than its factorization.

73720064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 73720064 is about 8586.0389004476. The cubic root of 73720064 is about 419.3035775367.

The spelling of 73720064 in words is "seventy-three million, seven hundred twenty thousand, sixty-four".