72773504 has 32 divisors (see below), whose sum is σ = 145758000. Its totient is φ = 36191232.

The previous prime is 72773479. The next prime is 72773507. The reversal of 72773504 is 40537727.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72773507) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24044 + ... + 26900.

Almost surely, 2^72773504 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 72773504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72879000).

72773504 is an abundant number, since it is smaller than the sum of its proper divisors (72984496).

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

72773504 is a wasteful number, since it uses less digits than its factorization.

72773504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3070 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 35.

The square root of 72773504 is about 8530.7387722283. The cubic root of 72773504 is about 417.5012327405.

The spelling of 72773504 in words is "seventy-two million, seven hundred seventy-three thousand, five hundred four".