72137240 has 64 divisors (see below), whose sum is σ = 189034560. Its totient is φ = 24261120.

The previous prime is 72137237. The next prime is 72137257. The reversal of 72137240 is 4273127.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12410 + ... + 17270.

It is an arithmetic number, because the mean of its divisors is an integer number (2953665).

Almost surely, 2^72137240 is an apocalyptic number.

72137240 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 72137240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94517280).

72137240 is an abundant number, since it is smaller than the sum of its proper divisors (116897320).

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

72137240 is a wasteful number, since it uses less digits than its factorization.

72137240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4932 (or 4928 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 72137240 is about 8493.3644688074. The cubic root of 72137240 is about 416.2809215697.

The spelling of 72137240 in words is "seventy-two million, one hundred thirty-seven thousand, two hundred forty".