72129400007 has 8 divisors (see below), whose sum is σ = 82447003296. Its totient is φ = 61815147552.

The previous prime is 72129399997. The next prime is 72129400069. The reversal of 72129400007 is 70000492127.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72129400007 - 2¹⁶ = 72129334471 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72129406007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 791408 + ... + 877829.

It is an arithmetic number, because the mean of its divisors is an integer number (10305875412).

Almost surely, 2^72129400007 is an apocalyptic number.

72129400007 is a deficient number, since it is larger than the sum of its proper divisors (10317603289).

72129400007 is a wasteful number, since it uses less digits than its factorization.

72129400007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675417.

The product of its (nonzero) digits is 7056, while the sum is 32.

The spelling of 72129400007 in words is "seventy-two billion, one hundred twenty-nine million, four hundred thousand, seven".