72263016 has 160 divisors (see below), whose sum is σ = 235224000. Its totient is φ = 20300544.

The previous prime is 72262997. The next prime is 72263021. The reversal of 72263016 is 61036227.

It is a happy number.

72263016 is a `hidden beast` number, since 7 + 22 + 630 + 1 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 403615 + ... + 403793.

It is an arithmetic number, because the mean of its divisors is an integer number (1470150).

Almost surely, 2^72263016 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 72263016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117612000).

72263016 is an abundant number, since it is smaller than the sum of its proper divisors (162960984).

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

72263016 is a wasteful number, since it uses less digits than its factorization.

72263016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 72263016 is about 8500.7656125787. The cubic root of 72263016 is about 416.5227187731.

The spelling of 72263016 in words is "seventy-two million, two hundred sixty-three thousand, sixteen".