72158401 has 16 divisors (see below), whose sum is σ = 85333248. Its totient is φ = 59731200.

The previous prime is 72158381. The next prime is 72158407. The reversal of 72158401 is 10485127.

It is a cyclic number.

It is not a de Polignac number, because 72158401 - 2⁵ = 72158369 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72158401.

It is not an unprimeable number, because it can be changed into a prime (72158407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28341 + ... + 30781.

It is an arithmetic number, because the mean of its divisors is an integer number (5333328).

Almost surely, 2^72158401 is an apocalyptic number.

It is an amenable number.

72158401 is a deficient number, since it is larger than the sum of its proper divisors (13174847).

72158401 is a wasteful number, since it uses less digits than its factorization.

72158401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592.

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 72158401 is about 8494.6101146551. The cubic root of 72158401 is about 416.3216220427.

It can be divided in two parts, 721 and 58401, that multiplied together give a square (42107121 = 6489²).

The spelling of 72158401 in words is "seventy-two million, one hundred fifty-eight thousand, four hundred one".