72870174434432 has 32 divisors (see below), whose sum is σ = 147215713334400. Its totient is φ = 35921916970240.

The previous prime is 72870174434423. The next prime is 72870174434441. The reversal of 72870174434432 is 23443447107827.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72870174434423) and next prime (72870174434441).

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4009133432 + ... + 4009151607.

It is an arithmetic number, because the mean of its divisors is an integer number (4600491041700).

Almost surely, 2^{72870174434432} is an apocalyptic number.

It is an amenable number.

72870174434432 is an abundant number, since it is smaller than the sum of its proper divisors (74345538899968).

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

72870174434432 is an equidigital number, since it uses as much as digits as its factorization.

72870174434432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8018285124 (or 8018285112 counting only the distinct ones).

The product of its (nonzero) digits is 25288704, while the sum is 56.

The spelling of 72870174434432 in words is "seventy-two trillion, eight hundred seventy billion, one hundred seventy-four million, four hundred thirty-four thousand, four hundred thirty-two".