72356760 has 256 divisors, whose sum is σ = 292377600. Its totient is φ = 15538176.

The previous prime is 72356749. The next prime is 72356761. The reversal of 72356760 is 6765327.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72356761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128239 + ... + 128801.

It is an arithmetic number, because the mean of its divisors is an integer number (1142100).

Almost surely, 2^72356760 is an apocalyptic number.

72356760 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72356760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146188800).

72356760 is an abundant number, since it is smaller than the sum of its proper divisors (220020840).

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

72356760 is a wasteful number, since it uses less digits than its factorization.

72356760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 72356760 is about 8506.2776818065. The cubic root of 72356760 is about 416.7027538522.

The spelling of 72356760 in words is "seventy-two million, three hundred fifty-six thousand, seven hundred sixty".