72021602400 has 288 divisors, whose sum is σ = 257046048000. Its totient is φ = 17370777600.

The previous prime is 72021602357. The next prime is 72021602423. The reversal of 72021602400 is 420612027.

It is a super-2 number, since 2×72021602400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5246746 + ... + 5260454.

It is an arithmetic number, because the mean of its divisors is an integer number (892521000).

Almost surely, 2^72021602400 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 72021602400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128523024000).

72021602400 is an abundant number, since it is smaller than the sum of its proper divisors (185024445600).

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

72021602400 is a wasteful number, since it uses less digits than its factorization.

72021602400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13942 (or 13929 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The spelling of 72021602400 in words is "seventy-two billion, twenty-one million, six hundred two thousand, four hundred".