72699153408 has 792 divisors, whose sum is σ = 265141359600. Its totient is φ = 19062521856.

The previous prime is 72699153407. The next prime is 72699153409. The reversal of 72699153408 is 80435199627.

It is an interprime number because it is at equal distance from previous prime (72699153407) and next prime (72699153409).

It is not an unprimeable number, because it can be changed into a prime (72699153407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 317463438 + ... + 317463666.

It is a 1-persistent number, because it is pandigital, but 2⋅72699153408 = 145398306816 is not.

Almost surely, 2^72699153408 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 72699153408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132570679800).

72699153408 is an abundant number, since it is smaller than the sum of its proper divisors (192442206192).

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

72699153408 is a wasteful number, since it uses less digits than its factorization.

72699153408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 72699153408 in words is "seventy-two billion, six hundred ninety-nine million, one hundred fifty-three thousand, four hundred eight".