72107928 has 64 divisors (see below), whose sum is σ = 201600000. Its totient is φ = 23880096.

The previous prime is 72107911. The next prime is 72107939. The reversal of 72107928 is 82970127.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 72107892 and 72107901.

It is a congruent number.

It is an unprimeable number.

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, 35073 + ... + 37071.

It is an arithmetic number, because the mean of its divisors is an integer number (3150000).

Almost surely, 2^72107928 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 72107928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100800000).

72107928 is an abundant number, since it is smaller than the sum of its proper divisors (129492072).

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

72107928 is a wasteful number, since it uses less digits than its factorization.

72107928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 72107928 is about 8491.6387111087. The cubic root of 72107928 is about 416.2245305413.

The spelling of 72107928 in words is "seventy-two million, one hundred seven thousand, nine hundred twenty-eight".