72464371200 has 720 divisors, whose sum is σ = 288712614960. Its totient is φ = 17696931840.

The previous prime is 72464371153. The next prime is 72464371261. The reversal of 72464371200 is 217346427.

72464371200 is a `hidden beast` number, since 7 + 2 + 4 + 643 + 7 + 1 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×72464371200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 570585537 + ... + 570585663.

It is an arithmetic number, because the mean of its divisors is an integer number (400989743).

Almost surely, 2^72464371200 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 72464371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144356307480).

72464371200 is an abundant number, since it is smaller than the sum of its proper divisors (216248243760).

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

72464371200 is a wasteful number, since it uses less digits than its factorization.

72464371200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 72464371200 in words is "seventy-two billion, four hundred sixty-four million, three hundred seventy-one thousand, two hundred".