72735936 has 224 divisors, whose sum is σ = 248521728. Its totient is φ = 18247680.

The previous prime is 72735899. The next prime is 72735997. The reversal of 72735936 is 63953727.

It is a happy number.

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 (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401766 + ... + 401946.

It is an arithmetic number, because the mean of its divisors is an integer number (1109472).

Almost surely, 2^72735936 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 72735936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124260864).

72735936 is an abundant number, since it is smaller than the sum of its proper divisors (175785792).

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

72735936 is a wasteful number, since it uses less digits than its factorization.

72735936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 229 counting only the distinct ones).

The product of its digits is 238140, while the sum is 42.

The square root of 72735936 is about 8528.5365684858. The cubic root of 72735936 is about 417.4293778977.

It can be divided in two parts, 727 and 35936, that added together give a palindrome (36663).

The spelling of 72735936 in words is "seventy-two million, seven hundred thirty-five thousand, nine hundred thirty-six".