72063936 has 168 divisors, whose sum is σ = 240755424. Its totient is φ = 20183040.

The previous prime is 72063911. The next prime is 72063947. The reversal of 72063936 is 63936027.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a self number, because there is not a number n which added to its sum of digits gives 72063936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245806 + ... + 246098.

It is an arithmetic number, because the mean of its divisors is an integer number (1433068).

Almost surely, 2^72063936 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 72063936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120377712).

72063936 is an abundant number, since it is smaller than the sum of its proper divisors (168691488).

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

72063936 is a wasteful number, since it uses less digits than its factorization.

72063936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 72063936 is about 8489.0480031627. The cubic root of 72063936 is about 416.1398691410.

The spelling of 72063936 in words is "seventy-two million, sixty-three thousand, nine hundred thirty-six".