72295440 has 160 divisors (see below), whose sum is σ = 267411456. Its totient is φ = 15797760.

The previous prime is 72295411. The next prime is 72295451. The reversal of 72295440 is 4459227.

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, 37705 + ... + 39575.

Almost surely, 2^72295440 is an apocalyptic number.

72295440 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 72295440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133705728).

72295440 is an abundant number, since it is smaller than the sum of its proper divisors (195116016).

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

72295440 is a wasteful number, since it uses less digits than its factorization.

72295440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 72295440 is about 8502.6725210371. The cubic root of 72295440 is about 416.5850065747.

The spelling of 72295440 in words is "seventy-two million, two hundred ninety-five thousand, four hundred forty".