72268896 has 192 divisors, whose sum is σ = 230985216. Its totient is φ = 19353600.

The previous prime is 72268891. The next prime is 72268897. The reversal of 72268896 is 69886227.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72268891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1184706 + ... + 1184766.

It is an arithmetic number, because the mean of its divisors is an integer number (1203048).

Almost surely, 2^72268896 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 72268896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115492608).

72268896 is an abundant number, since it is smaller than the sum of its proper divisors (158716320).

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

72268896 is a wasteful number, since it uses less digits than its factorization.

72268896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 157 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 72268896 is about 8501.1114567449. Note that the first 3 decimals coincide. The cubic root of 72268896 is about 416.5340158713.

The spelling of 72268896 in words is "seventy-two million, two hundred sixty-eight thousand, eight hundred ninety-six".