72655240 has 96 divisors (see below), whose sum is σ = 200275200. Its totient is φ = 23587200.

The previous prime is 72655217. The next prime is 72655243. The reversal of 72655240 is 4255627.

It is a super-3 number, since 3×72655240³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (72655243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36265 + ... + 38215.

It is an arithmetic number, because the mean of its divisors is an integer number (2086200).

Almost surely, 2^72655240 is an apocalyptic number.

72655240 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 72655240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100137600).

72655240 is an abundant number, since it is smaller than the sum of its proper divisors (127619960).

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

72655240 is a wasteful number, since it uses less digits than its factorization.

72655240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 72655240 is about 8523.8043149758. The cubic root of 72655240 is about 417.2749501246.

The spelling of 72655240 in words is "seventy-two million, six hundred fifty-five thousand, two hundred forty".