72721152 has 216 divisors, whose sum is σ = 249989376. Its totient is φ = 20653056.

The previous prime is 72721139. The next prime is 72721153. The reversal of 72721152 is 25112727.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (72721153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 435373 + ... + 435539.

Almost surely, 2^72721152 is an apocalyptic number.

72721152 is a gapful number since it is divisible by the number (72) 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 72721152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124994688).

72721152 is an abundant number, since it is smaller than the sum of its proper divisors (177268224).

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

72721152 is an equidigital number, since it uses as much as digits as its factorization.

72721152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 179 counting only the distinct ones).

The product of its digits is 1960, while the sum is 27.

The square root of 72721152 is about 8527.6697872279. The cubic root of 72721152 is about 417.4010943356.

Adding to 72721152 its reverse (25112727), we get a palindrome (97833879).

The spelling of 72721152 in words is "seventy-two million, seven hundred twenty-one thousand, one hundred fifty-two".