72055401 has 64 divisors (see below), whose sum is σ = 118609920. Its totient is φ = 38384640.

The previous prime is 72055387. The next prime is 72055411. The reversal of 72055401 is 10455027.

It is not a de Polignac number, because 72055401 - 2¹¹ = 72053353 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72055411) 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, 699516 + ... + 699618.

It is an arithmetic number, because the mean of its divisors is an integer number (1853280).

Almost surely, 2^72055401 is an apocalyptic number.

It is an amenable number.

72055401 is a deficient number, since it is larger than the sum of its proper divisors (46554519).

72055401 is a wasteful number, since it uses less digits than its factorization.

72055401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206.

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 72055401 is about 8488.5452817311. The cubic root of 72055401 is about 416.1234397765.

The spelling of 72055401 in words is "seventy-two million, fifty-five thousand, four hundred one".