72663360 has 224 divisors, whose sum is σ = 287926272. Its totient is φ = 15083520.

The previous prime is 72663329. The next prime is 72663361. The reversal of 72663360 is 6336627.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72663361) 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, 73429 + ... + 74411.

Almost surely, 2^72663360 is an apocalyptic number.

72663360 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 72663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143963136).

72663360 is an abundant number, since it is smaller than the sum of its proper divisors (215262912).

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

72663360 is a wasteful number, since it uses less digits than its factorization.

72663360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 33.

The square root of 72663360 is about 8524.2806148085. The cubic root of 72663360 is about 417.2904945248.

Adding to 72663360 its reverse (6336627), we get a palindrome (78999987).

The spelling of 72663360 in words is "seventy-two million, six hundred sixty-three thousand, three hundred sixty".