72769536 has 224 divisors, whose sum is σ = 251642880. Its totient is φ = 20348928.

The previous prime is 72769531. The next prime is 72769573. The reversal of 72769536 is 63596727.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 72769491 and 72769500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72769531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1548265 + ... + 1548311.

Almost surely, 2^72769536 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 72769536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125821440).

72769536 is an abundant number, since it is smaller than the sum of its proper divisors (178873344).

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

72769536 is an equidigital number, since it uses as much as digits as its factorization.

72769536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 59 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 72769536 is about 8530.5061983449. The cubic root of 72769536 is about 417.4936444704.

The spelling of 72769536 in words is "seventy-two million, seven hundred sixty-nine thousand, five hundred thirty-six".