72444952335 has 48 divisors (see below), whose sum is σ = 134912466432. Its totient is φ = 33098990400.

The previous prime is 72444952301. The next prime is 72444952339. The reversal of 72444952335 is 53325944427.

It is a Cunningham number, because it is equal to 269156²-1.

It is not a de Polignac number, because 72444952335 - 2¹⁰ = 72444951311 is a prime.

It is a super-2 number, since 2×72444952335² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72444952339) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1318870 + ... + 1372700.

It is an arithmetic number, because the mean of its divisors is an integer number (2810676384).

Almost surely, 2^72444952335 is an apocalyptic number.

72444952335 is a deficient number, since it is larger than the sum of its proper divisors (62467514097).

72444952335 is a wasteful number, since it uses less digits than its factorization.

72444952335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55684 (or 55677 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 48.

The spelling of 72444952335 in words is "seventy-two billion, four hundred forty-four million, nine hundred fifty-two thousand, three hundred thirty-five".