72229872 has 160 divisors (see below), whose sum is σ = 232485120. Its totient is φ = 18984960.

The previous prime is 72229841. The next prime is 72229873. The reversal of 72229872 is 27892227.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 72229872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72229873) 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, 116379 + ... + 116997.

It is an arithmetic number, because the mean of its divisors is an integer number (1453032).

Almost surely, 2^72229872 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 72229872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116242560).

72229872 is an abundant number, since it is smaller than the sum of its proper divisors (160255248).

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

72229872 is a wasteful number, since it uses less digits than its factorization.

72229872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 665 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 72229872 is about 8498.8159175264. The cubic root of 72229872 is about 416.4590285624.

The spelling of 72229872 in words is "seventy-two million, two hundred twenty-nine thousand, eight hundred seventy-two".