72689432400 has 1200 divisors, whose sum is σ = 306312061440. Its totient is φ = 16348262400.

The previous prime is 72689432399. The next prime is 72689432401. The reversal of 72689432400 is 423498627.

72689432400 is a `hidden beast` number, since 72 + 68 + 94 + 32 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (72689432399) and next prime (72689432401).

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72689432401) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 248086654 + ... + 248086946.

Almost surely, 2^72689432400 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 72689432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153156030720).

72689432400 is an abundant number, since it is smaller than the sum of its proper divisors (233622629040).

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

72689432400 is a wasteful number, since it uses less digits than its factorization.

72689432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 72689432400 in words is "seventy-two billion, six hundred eighty-nine million, four hundred thirty-two thousand, four hundred".