72795240 has 128 divisors (see below), whose sum is σ = 277344000. Its totient is φ = 16637184.

The previous prime is 72795227. The next prime is 72795263. The reversal of 72795240 is 4259727.

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 = 72795195 and 72795204.

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 31 ways as a sum of consecutive naturals, for example, 2746 + ... + 12374.

It is an arithmetic number, because the mean of its divisors is an integer number (2166750).

Almost surely, 2^72795240 is an apocalyptic number.

72795240 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 72795240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138672000).

72795240 is an abundant number, since it is smaller than the sum of its proper divisors (204548760).

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

72795240 is a wasteful number, since it uses less digits than its factorization.

72795240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9656 (or 9646 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 72795240 is about 8532.0126582185. The cubic root of 72795240 is about 417.5427950443.

The spelling of 72795240 in words is "seventy-two million, seven hundred ninety-five thousand, two hundred forty".