72955440 has 120 divisors (see below), whose sum is σ = 257952240. Its totient is φ = 18427392.

The previous prime is 72955427. The next prime is 72955457. The reversal of 72955440 is 4455927.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 72955395 and 72955404.

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 23 ways as a sum of consecutive naturals, for example, 11014 + ... + 16346.

It is an arithmetic number, because the mean of its divisors is an integer number (2149602).

Almost surely, 2^72955440 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 72955440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128976120).

72955440 is an abundant number, since it is smaller than the sum of its proper divisors (184996800).

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

72955440 is a wasteful number, since it uses less digits than its factorization.

72955440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5371 (or 5362 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 72955440 is about 8541.3956704979. The cubic root of 72955440 is about 417.8488651815.

It can be divided in two parts, 729 and 55440, that added together give a square (56169 = 237²).

The spelling of 72955440 in words is "seventy-two million, nine hundred fifty-five thousand, four hundred forty".