72612288 has 336 divisors, whose sum is σ = 266273280. Its totient is φ = 19160064.

The previous prime is 72612247. The next prime is 72612307. The reversal of 72612288 is 88221627.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (21504) is a multiple of the sum of its prime divisors (64).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2503858 + ... + 2503886.

It is an arithmetic number, because the mean of its divisors is an integer number (792480).

Almost surely, 2^72612288 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 72612288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133136640).

72612288 is an abundant number, since it is smaller than the sum of its proper divisors (193660992).

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

72612288 is a wasteful number, since it uses less digits than its factorization.

72612288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 64 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 72612288 is about 8521.2844102283. The cubic root of 72612288 is about 417.1927063357.

It can be divided in two parts, 72612 and 288, that added together give a square (72900 = 270²).

The spelling of 72612288 in words is "seventy-two million, six hundred twelve thousand, two hundred eighty-eight".