72699521126400 has 3744 divisors, whose sum is σ = 335399983027200. Its totient is φ = 14651228160000.

The previous prime is 72699521126333. The next prime is 72699521126489. The reversal of 72699521126400 is 462112599627.

It is a happy number.

72699521126400 is a `hidden beast` number, since 7 + 2 + 6 + 9 + 95 + 21 + 126 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 289639526275 + ... + 289639526525.

It is an arithmetic number, because the mean of its divisors is an integer number (89583328800).

Almost surely, 2^{72699521126400} is an apocalyptic number.

72699521126400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72699521126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167699991513600).

72699521126400 is an abundant number, since it is smaller than the sum of its proper divisors (262700461900800).

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

72699521126400 is a wasteful number, since it uses less digits than its factorization.

72699521126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 443 counting only the distinct ones).

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

The spelling of 72699521126400 in words is "seventy-two trillion, six hundred ninety-nine billion, five hundred twenty-one million, one hundred twenty-six thousand, four hundred".