72955441 has 12 divisors (see below), whose sum is σ = 80933580. Its totient is φ = 65694720.

The previous prime is 72955427. The next prime is 72955457. The reversal of 72955441 is 14455927.

It can be written as a sum of positive squares in 6 ways, for example, as 17139600 + 55815841 = 4140^2 + 7471^2 .

It is not a de Polignac number, because 72955441 - 2¹⁹ = 72431153 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72955441.

It is not an unprimeable number, because it can be changed into a prime (72955481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1665 + ... + 12193.

It is an arithmetic number, because the mean of its divisors is an integer number (6744465).

Almost surely, 2^72955441 is an apocalyptic number.

It is an amenable number.

72955441 is a deficient number, since it is larger than the sum of its proper divisors (7978139).

72955441 is a wasteful number, since it uses less digits than its factorization.

72955441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10596 (or 10583 counting only the distinct ones).

The product of its digits is 50400, while the sum is 37.

The square root of 72955441 is about 8541.3957290363. The cubic root of 72955441 is about 417.8488670907.

The spelling of 72955441 in words is "seventy-two million, nine hundred fifty-five thousand, four hundred forty-one".