72429696000 has 264 divisors, whose sum is σ = 261009842184. Its totient is φ = 19314278400.

The previous prime is 72429695971. The next prime is 72429696047. The reversal of 72429696000 is 69692427.

It can be written as a sum of positive squares in 4 ways, for example, as 72999936 + 72356696064 = 8544^2 + 268992^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1120564 + ... + 1183436.

Almost surely, 2^72429696000 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 72429696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130504921092).

72429696000 is an abundant number, since it is smaller than the sum of its proper divisors (188580146184).

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

72429696000 is a wasteful number, since it uses less digits than its factorization.

72429696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62914 (or 62883 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 72429696000 in words is "seventy-two billion, four hundred twenty-nine million, six hundred ninety-six thousand".