72229920 has 288 divisors, whose sum is σ = 275099328. Its totient is φ = 15869952.

The previous prime is 72229919. The next prime is 72229921. The reversal of 72229920 is 2992227.

It is an interprime number because it is at equal distance from previous prime (72229919) and next prime (72229921).

It is a super-2 number, since 2×72229920² = 10434322686412800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72229921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 870199 + ... + 870281.

It is an arithmetic number, because the mean of its divisors is an integer number (955206).

Almost surely, 2^72229920 is an apocalyptic number.

72229920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72229920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137549664).

72229920 is an abundant number, since it is smaller than the sum of its proper divisors (202869408).

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

72229920 is a wasteful number, since it uses less digits than its factorization.

72229920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 72229920 is about 8498.8187414487. The cubic root of 72229920 is about 416.4591208143.

The spelling of 72229920 in words is "seventy-two million, two hundred twenty-nine thousand, nine hundred twenty".