72597840 has 160 divisors (see below), whose sum is σ = 260935680. Its totient is φ = 16353792.

The previous prime is 72597797. The next prime is 72597851. The reversal of 72597840 is 4879527.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 72597792 and 72597801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132447 + ... + 132993.

It is an arithmetic number, because the mean of its divisors is an integer number (1630848).

Almost surely, 2^72597840 is an apocalyptic number.

72597840 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 72597840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130467840).

72597840 is an abundant number, since it is smaller than the sum of its proper divisors (188337840).

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

72597840 is a wasteful number, since it uses less digits than its factorization.

72597840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 72597840 is about 8520.4366085313. The cubic root of 72597840 is about 417.1650342515.

It can be divided in two parts, 72597 and 840, that added together give a palindrome (73437).

The spelling of 72597840 in words is "seventy-two million, five hundred ninety-seven thousand, eight hundred forty".