72773520 has 80 divisors (see below), whose sum is σ = 228199680. Its totient is φ = 19182592.

The previous prime is 72773507. The next prime is 72773539. The reversal of 72773520 is 2537727.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19657 + ... + 23063.

It is an arithmetic number, because the mean of its divisors is an integer number (2852496).

Almost surely, 2^72773520 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 72773520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114099840).

72773520 is an abundant number, since it is smaller than the sum of its proper divisors (155426160).

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

72773520 is a wasteful number, since it uses less digits than its factorization.

72773520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3512 (or 3506 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 33.

The square root of 72773520 is about 8530.7397100134. The cubic root of 72773520 is about 417.5012633378.

It can be divided in two parts, 727 and 73520, that added together give a palindrome (74247).

The spelling of 72773520 in words is "seventy-two million, seven hundred seventy-three thousand, five hundred twenty".