72772 has 24 divisors (see below), whose sum is σ = 153216. Its totient is φ = 29568.

The previous prime is 72767. The next prime is 72797. The reversal of 72772 is 27727.

It is a nude number because it is divisible by every one of its digits.

It is a pancake number, because a pancake can be divided into 72772 parts by 381 straight cuts.

It is a nialpdrome in base 7.

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, 588 + ... + 700.

It is an arithmetic number, because the mean of its divisors is an integer number (6384).

2⁷²⁷⁷² 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 72772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76608).

72772 is an abundant number, since it is smaller than the sum of its proper divisors (80444).

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

72772 is a wasteful number, since it uses less digits than its factorization.

72772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 145 counting only the distinct ones).

The product of its digits is 1372, while the sum is 25.

The square root of 72772 is about 269.7628588223. The cubic root of 72772 is about 41.7498356574.

The spelling of 72772 in words is "seventy-two thousand, seven hundred seventy-two", and thus it is an iban number.