72637344 has 192 divisors, whose sum is σ = 237081600. Its totient is φ = 21482496.

The previous prime is 72637343. The next prime is 72637387. The reversal of 72637344 is 44373627.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 72637299 and 72637308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72637343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325617 + ... + 325839.

It is an arithmetic number, because the mean of its divisors is an integer number (1234800).

Almost surely, 2^72637344 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 72637344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118540800).

72637344 is an abundant number, since it is smaller than the sum of its proper divisors (164444256).

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

72637344 is a wasteful number, since it uses less digits than its factorization.

72637344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 270 counting only the distinct ones).

The product of its digits is 84672, while the sum is 36.

The square root of 72637344 is about 8522.7544843202. The cubic root of 72637344 is about 417.2406870959.

The spelling of 72637344 in words is "seventy-two million, six hundred thirty-seven thousand, three hundred forty-four".