72237440 has 128 divisors (see below), whose sum is σ = 195056640. Its totient is φ = 25344000.

The previous prime is 72237433. The next prime is 72237443. The reversal of 72237440 is 4473227.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×72237440³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72237443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218075 + ... + 218405.

It is an arithmetic number, because the mean of its divisors is an integer number (1523880).

Almost surely, 2^72237440 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 72237440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97528320).

72237440 is an abundant number, since it is smaller than the sum of its proper divisors (122819200).

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

72237440 is a wasteful number, since it uses less digits than its factorization.

72237440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 29.

The square root of 72237440 is about 8499.2611443584. The cubic root of 72237440 is about 416.4735731073.

The spelling of 72237440 in words is "seventy-two million, two hundred thirty-seven thousand, four hundred forty".