72429102636400 has 240 divisors, whose sum is σ = 186524503105248. Its totient is φ = 26930552832000.

The previous prime is 72429102636353. The next prime is 72429102636439. The reversal of 72429102636400 is 463620192427.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1998522280 + ... + 1998558520.

Almost surely, 2^{72429102636400} 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 72429102636400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93262251552624).

72429102636400 is an abundant number, since it is smaller than the sum of its proper divisors (114095400468848).

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

72429102636400 is a wasteful number, since it uses less digits than its factorization.

72429102636400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39900 (or 39889 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 46.

The spelling of 72429102636400 in words is "seventy-two trillion, four hundred twenty-nine billion, one hundred two million, six hundred thirty-six thousand, four hundred".