72177864 has 64 divisors (see below), whose sum is σ = 205424640. Its totient is φ = 20919360.

The previous prime is 72177863. The next prime is 72177871. The reversal of 72177864 is 46877127.

It is not an unprimeable number, because it can be changed into a prime (72177863) 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 15 ways as a sum of consecutive naturals, for example, 129 + ... + 12015.

It is an arithmetic number, because the mean of its divisors is an integer number (3209760).

Almost surely, 2^72177864 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 72177864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102712320).

72177864 is an abundant number, since it is smaller than the sum of its proper divisors (133246776).

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

72177864 is a wasteful number, since it uses less digits than its factorization.

72177864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11930 (or 11926 counting only the distinct ones).

The product of its digits is 131712, while the sum is 42.

The square root of 72177864 is about 8495.7556462036. The cubic root of 72177864 is about 416.3590496059.

The spelling of 72177864 in words is "seventy-two million, one hundred seventy-seven thousand, eight hundred sixty-four".