72533104647661 has 6 divisors (see below), whose sum is σ = 84375244182030. Its totient is φ = 62171232555096.

The previous prime is 72533104647613. The next prime is 72533104647709. The reversal of 72533104647661 is 16674640133527.

It is an interprime number because it is at equal distance from previous prime (72533104647613) and next prime (72533104647709).

It can be written as a sum of positive squares in only one way, i.e., 64705839472036 + 7827265175625 = 8043994^2 + 2797725^2 .

It is not a de Polignac number, because 72533104647661 - 2¹¹ = 72533104645613 is a prime.

It is a super-2 number, since 2×72533104647661² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72533104647611) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 740133720846 + ... + 740133720943.

It is an arithmetic number, because the mean of its divisors is an integer number (14062540697005).

Almost surely, 2^{72533104647661} is an apocalyptic number.

It is an amenable number.

72533104647661 is a deficient number, since it is larger than the sum of its proper divisors (11842139534369).

72533104647661 is a wasteful number, since it uses less digits than its factorization.

72533104647661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480267441803 (or 1480267441796 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 55.

The spelling of 72533104647661 in words is "seventy-two trillion, five hundred thirty-three billion, one hundred four million, six hundred forty-seven thousand, six hundred sixty-one".