72349536 has 192 divisors, whose sum is σ = 235339776. Its totient is φ = 19008000.

The previous prime is 72349531. The next prime is 72349547. The reversal of 72349536 is 63594327.

It is a junction number, because it is equal to n+sod(n) for n = 72349494 and 72349503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72349531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479061 + ... + 479211.

It is an arithmetic number, because the mean of its divisors is an integer number (1225728).

Almost surely, 2^72349536 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 72349536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117669888).

72349536 is an abundant number, since it is smaller than the sum of its proper divisors (162990240).

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

72349536 is a wasteful number, since it uses less digits than its factorization.

72349536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 217 counting only the distinct ones).

The product of its digits is 136080, while the sum is 39.

The square root of 72349536 is about 8505.8530436400. The cubic root of 72349536 is about 416.6888857129.

The spelling of 72349536 in words is "seventy-two million, three hundred forty-nine thousand, five hundred thirty-six".