72177872 has 30 divisors (see below), whose sum is σ = 151435062. Its totient is φ = 33311616.

The previous prime is 72177871. The next prime is 72177877. The reversal of 72177872 is 27877127.

It can be written as a sum of positive squares in 3 ways, for example, as 9388096 + 62789776 = 3064^2 + 7924^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72177871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10643 + ... + 16050.

Almost surely, 2^72177872 is an apocalyptic number.

It is an amenable number.

72177872 is an abundant number, since it is smaller than the sum of its proper divisors (79257190).

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

72177872 is a wasteful number, since it uses less digits than its factorization.

72177872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26727 (or 26708 counting only the distinct ones).

The product of its digits is 76832, while the sum is 41.

The square root of 72177872 is about 8495.7561170269. The cubic root of 72177872 is about 416.3590649886.

The spelling of 72177872 in words is "seventy-two million, one hundred seventy-seven thousand, eight hundred seventy-two".