72623171401 has 64 divisors (see below), whose sum is σ = 86612198400. Its totient is φ = 60192288000.

The previous prime is 72623171389. The next prime is 72623171431. The reversal of 72623171401 is 10417132627.

It is a cyclic number.

It is not a de Polignac number, because 72623171401 - 2¹⁹ = 72622647113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72623171431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 155509770 + ... + 155510236.

It is an arithmetic number, because the mean of its divisors is an integer number (1353315600).

Almost surely, 2^72623171401 is an apocalyptic number.

It is an amenable number.

72623171401 is a deficient number, since it is larger than the sum of its proper divisors (13989026999).

72623171401 is a wasteful number, since it uses less digits than its factorization.

72623171401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790.

The product of its (nonzero) digits is 14112, while the sum is 34.

The spelling of 72623171401 in words is "seventy-two billion, six hundred twenty-three million, one hundred seventy-one thousand, four hundred one".