72154790400 has 960 divisors, whose sum is σ = 310387562496. Its totient is φ = 14327808000.

The previous prime is 72154790399. The next prime is 72154790401. The reversal of 72154790400 is 409745127.

It is an interprime number because it is at equal distance from previous prime (72154790399) and next prime (72154790401).

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (72154790401) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 68005870 + ... + 68006930.

Almost surely, 2^72154790400 is an apocalyptic number.

72154790400 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 72154790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155193781248).

72154790400 is an abundant number, since it is smaller than the sum of its proper divisors (238232772096).

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

72154790400 is a wasteful number, since it uses less digits than its factorization.

72154790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 72154790400 in words is "seventy-two billion, one hundred fifty-four million, seven hundred ninety thousand, four hundred".