72421237123200 has 2688 divisors, whose sum is σ = 315962954219520. Its totient is φ = 16052022927360.

The previous prime is 72421237123117. The next prime is 72421237123309. The reversal of 72421237123200 is 232173212427.

72421237123200 is a `hidden beast` number, since 7 + 2 + 42 + 12 + 371 + 232 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 97471382029 + ... + 97471382771.

Almost surely, 2^{72421237123200} is an apocalyptic number.

72421237123200 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 72421237123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157981477109760).

72421237123200 is an abundant number, since it is smaller than the sum of its proper divisors (243541717096320).

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

72421237123200 is a wasteful number, since it uses less digits than its factorization.

72421237123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 934 counting only the distinct ones).

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

The spelling of 72421237123200 in words is "seventy-two trillion, four hundred twenty-one billion, two hundred thirty-seven million, one hundred twenty-three thousand, two hundred".