72386748 has 144 divisors (see below), whose sum is σ = 225860544. Its totient is φ = 19077120.

The previous prime is 72386747. The next prime is 72386753. The reversal of 72386748 is 84768327.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72386747) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261186 + ... + 261462.

It is an arithmetic number, because the mean of its divisors is an integer number (1568476).

Almost surely, 2^72386748 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 72386748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112930272).

72386748 is an abundant number, since it is smaller than the sum of its proper divisors (153473796).

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

72386748 is a wasteful number, since it uses less digits than its factorization.

72386748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 367 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 72386748 is about 8508.0401973663. The cubic root of 72386748 is about 416.7603128891.

The spelling of 72386748 in words is "seventy-two million, three hundred eighty-six thousand, seven hundred forty-eight".