72347652353088 has 560 divisors, whose sum is σ = 260584467099264. Its totient is φ = 19454790574080.

The previous prime is 72347652353087. The next prime is 72347652353089. The reversal of 72347652353088 is 88035325674327.

72347652353088 is a `hidden beast` number, since 7 + 2 + 3 + 4 + 76 + 5 + 23 + 530 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (72347652353087) and next prime (72347652353089).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (72347652353087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 149664418 + ... + 150147038.

Almost surely, 2^{72347652353088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72347652353088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130292233549632).

72347652353088 is an abundant number, since it is smaller than the sum of its proper divisors (188236814746176).

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

72347652353088 is an frugal number, since it uses more digits than its factorization.

72347652353088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482684 (or 482650 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 63.

The spelling of 72347652353088 in words is "seventy-two trillion, three hundred forty-seven billion, six hundred fifty-two million, three hundred fifty-three thousand, eighty-eight".