72735796 has 36 divisors (see below), whose sum is σ = 152858496. Its totient is φ = 30164400.

The previous prime is 72735787. The next prime is 72735797. The reversal of 72735796 is 69753727.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72735797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91 + ... + 12061.

Almost surely, 2^72735796 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 72735796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76429248).

72735796 is an abundant number, since it is smaller than the sum of its proper divisors (80122700).

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

72735796 is a wasteful number, since it uses less digits than its factorization.

72735796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12020 (or 12011 counting only the distinct ones).

The product of its digits is 555660, while the sum is 46.

The square root of 72735796 is about 8528.5283607431. The cubic root of 72735796 is about 417.4291100789.

The spelling of 72735796 in words is "seventy-two million, seven hundred thirty-five thousand, seven hundred ninety-six".