72174401 has 8 divisors (see below), whose sum is σ = 82298664. Its totient is φ = 62703360.

The previous prime is 72174373. The next prime is 72174409. The reversal of 72174401 is 10447127.

It can be written as a sum of positive squares in 4 ways, for example, as 27552001 + 44622400 = 5249^2 + 6680^2 .

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 72174401 - 2⁶ = 72174337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72174409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163070 + ... + 163511.

It is an arithmetic number, because the mean of its divisors is an integer number (10287333).

Almost surely, 2^72174401 is an apocalyptic number.

It is an amenable number.

72174401 is a deficient number, since it is larger than the sum of its proper divisors (10124263).

72174401 is a wasteful number, since it uses less digits than its factorization.

72174401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326611.

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 72174401 is about 8495.5518361081. The cubic root of 72174401 is about 416.3523907109.

The spelling of 72174401 in words is "seventy-two million, one hundred seventy-four thousand, four hundred one".