72492794370 has 320 divisors, whose sum is σ = 215935632000. Its totient is φ = 17376436224.

The previous prime is 72492794299. The next prime is 72492794393. The reversal of 72492794370 is 7349729427.

72492794370 is a `hidden beast` number, since 7 + 249 + 27 + 9 + 4 + 370 = 666.

It is a super-2 number, since 2×72492794370² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26330914 + ... + 26333666.

It is an arithmetic number, because the mean of its divisors is an integer number (674798850).

Almost surely, 2^72492794370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72492794370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107967816000).

72492794370 is an abundant number, since it is smaller than the sum of its proper divisors (143442837630).

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

72492794370 is a wasteful number, since it uses less digits than its factorization.

72492794370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879 (or 2870 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 72492794370 in words is "seventy-two billion, four hundred ninety-two million, seven hundred ninety-four thousand, three hundred seventy".