72533003026656 has 96 divisors (see below), whose sum is σ = 190946674211328. Its totient is φ = 24108236006400.

The previous prime is 72533003026639. The next prime is 72533003026657. The reversal of 72533003026656 is 65662030033527.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×72533003026656² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72533003026657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46954521 + ... + 48474663.

It is an arithmetic number, because the mean of its divisors is an integer number (1989027856368).

Almost surely, 2^{72533003026656} is an apocalyptic number.

It is an amenable number.

72533003026656 is an abundant number, since it is smaller than the sum of its proper divisors (118413671184672).

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

72533003026656 is a wasteful number, since it uses less digits than its factorization.

72533003026656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521584 (or 1521576 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 48.

The spelling of 72533003026656 in words is "seventy-two trillion, five hundred thirty-three billion, three million, twenty-six thousand, six hundred fifty-six".