72577336 has 32 divisors (see below), whose sum is σ = 148629600. Its totient is φ = 33022080.

The previous prime is 72577333. The next prime is 72577381. The reversal of 72577336 is 63377527.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72577333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2470 + ... + 12298.

It is an arithmetic number, because the mean of its divisors is an integer number (4644675).

Almost surely, 2^72577336 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 72577336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74314800).

72577336 is an abundant number, since it is smaller than the sum of its proper divisors (76052264).

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

72577336 is a wasteful number, since it uses less digits than its factorization.

72577336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9919 (or 9915 counting only the distinct ones).

The product of its digits is 185220, while the sum is 40.

The square root of 72577336 is about 8519.2332988362. The cubic root of 72577336 is about 417.1257568788.

The spelling of 72577336 in words is "seventy-two million, five hundred seventy-seven thousand, three hundred thirty-six".