72463568 has 40 divisors (see below), whose sum is σ = 148428000. Its totient is φ = 34176384.

The previous prime is 72463553. The next prime is 72463577. The reversal of 72463568 is 86536427.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105755 + ... + 106437.

It is an arithmetic number, because the mean of its divisors is an integer number (3710700).

Almost surely, 2^72463568 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 72463568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74214000).

72463568 is an abundant number, since it is smaller than the sum of its proper divisors (75964432).

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

72463568 is a wasteful number, since it uses less digits than its factorization.

72463568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1053 counting only the distinct ones).

The product of its digits is 241920, while the sum is 41.

The square root of 72463568 is about 8512.5535534292. The cubic root of 72463568 is about 416.9076888908.

The spelling of 72463568 in words is "seventy-two million, four hundred sixty-three thousand, five hundred sixty-eight".