72101072 has 20 divisors (see below), whose sum is σ = 141082116. Its totient is φ = 35692800.

The previous prime is 72101069. The next prime is 72101087. The reversal of 72101072 is 27010127.

It can be written as a sum of positive squares in 2 ways, for example, as 40246336 + 31854736 = 6344^2 + 5644^2 .

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20693 + ... + 23924.

Almost surely, 2^72101072 is an apocalyptic number.

It is an amenable number.

72101072 is a deficient number, since it is larger than the sum of its proper divisors (68981044).

72101072 is a wasteful number, since it uses less digits than its factorization.

72101072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44726 (or 44720 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 20.

The square root of 72101072 is about 8491.2350102915. The cubic root of 72101072 is about 416.2113386223.

Adding to 72101072 its reverse (27010127), we get a palindrome (99111199).

The spelling of 72101072 in words is "seventy-two million, one hundred one thousand, seventy-two".