72773120 has 160 divisors (see below), whose sum is σ = 207415296. Its totient is φ = 23961600.

The previous prime is 72773053. The next prime is 72773147. The reversal of 72773120 is 2137727.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 555455 + ... + 555585.

Almost surely, 2^72773120 is an apocalyptic number.

72773120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72773120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103707648).

72773120 is an abundant number, since it is smaller than the sum of its proper divisors (134642176).

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

72773120 is a wasteful number, since it uses less digits than its factorization.

72773120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 29.

The square root of 72773120 is about 8530.7162653554. The cubic root of 72773120 is about 417.5004984038.

The spelling of 72773120 in words is "seventy-two million, seven hundred seventy-three thousand, one hundred twenty".