72532629733509 has 96 divisors (see below), whose sum is σ = 116602029992448. Its totient is φ = 43080206832000.

The previous prime is 72532629733457. The next prime is 72532629733517. The reversal of 72532629733509 is 90533792623527.

72532629733509 is a `hidden beast` number, since 7 + 2 + 5 + 3 + 2 + 6 + 2 + 97 + 33 + 509 = 666.

It is not a de Polignac number, because 72532629733509 - 2¹¹ = 72532629731461 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72532629735509) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2881582494 + ... + 2881607664.

It is an arithmetic number, because the mean of its divisors is an integer number (1214604479088).

Almost surely, 2^{72532629733509} is an apocalyptic number.

It is an amenable number.

72532629733509 is a deficient number, since it is larger than the sum of its proper divisors (44069400258939).

72532629733509 is a wasteful number, since it uses less digits than its factorization.

72532629733509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28079 (or 28076 counting only the distinct ones).

The product of its (nonzero) digits is 128595600, while the sum is 63.

The spelling of 72532629733509 in words is "seventy-two trillion, five hundred thirty-two billion, six hundred twenty-nine million, seven hundred thirty-three thousand, five hundred nine".