72123996 has 72 divisors (see below), whose sum is σ = 204378496. Its totient is φ = 19388160.

The previous prime is 72123923. The next prime is 72124007. The reversal of 72123996 is 69932127.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 22791 + ... + 25761.

Almost surely, 2^72123996 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 72123996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102189248).

72123996 is an abundant number, since it is smaller than the sum of its proper divisors (132254500).

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

72123996 is a wasteful number, since it uses less digits than its factorization.

72123996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3019 (or 3000 counting only the distinct ones).

The product of its digits is 40824, while the sum is 39.

The square root of 72123996 is about 8492.5847655469. The cubic root of 72123996 is about 416.2554443823.

The spelling of 72123996 in words is "seventy-two million, one hundred twenty-three thousand, nine hundred ninety-six".