72030628454400 has 1512 divisors, whose sum is σ = 327428550936864. Its totient is φ = 14967196876800.

The previous prime is 72030628454347. The next prime is 72030628454417. The reversal of 72030628454400 is 445482603027.

It is a happy number.

72030628454400 is a `hidden beast` number, since 7 + 20 + 3 + 0 + 6 + 2 + 84 + 544 + 0 + 0 = 666.

It is a super-2 number, since 2×72030628454400² (a number of 29 digits) contains 22 as substring.

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 107 ways as a sum of consecutive naturals, for example, 993448549 + ... + 993521051.

Almost surely, 2^{72030628454400} is an apocalyptic number.

72030628454400 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 72030628454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163714275468432).

72030628454400 is an abundant number, since it is smaller than the sum of its proper divisors (255397922482464).

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

72030628454400 is a wasteful number, since it uses less digits than its factorization.

72030628454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72570 (or 72531 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 72030628454400 in words is "seventy-two trillion, thirty billion, six hundred twenty-eight million, four hundred fifty-four thousand, four hundred".