72397152000 has 1440 divisors, whose sum is σ = 300017862144. Its totient is φ = 17252352000.

The previous prime is 72397151989. The next prime is 72397152019. The reversal of 72397152000 is 25179327.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×72397152000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 1365983974 + ... + 1365984026.

Almost surely, 2^72397152000 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 72397152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150008931072).

72397152000 is an abundant number, since it is smaller than the sum of its proper divisors (227620710144).

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

72397152000 is a wasteful number, since it uses less digits than its factorization.

72397152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 72397152000 in words is "seventy-two billion, three hundred ninety-seven million, one hundred fifty-two thousand".