72077201 has 16 divisors (see below), whose sum is σ = 85521408. Its totient is φ = 59443200.

The previous prime is 72077197. The next prime is 72077219. The reversal of 72077201 is 10277027.

It is a cyclic number.

It is not a de Polignac number, because 72077201 - 2² = 72077197 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72077251) 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, 41021 + ... + 42741.

It is an arithmetic number, because the mean of its divisors is an integer number (5345088).

Almost surely, 2^72077201 is an apocalyptic number.

It is an amenable number.

72077201 is a deficient number, since it is larger than the sum of its proper divisors (13444207).

72077201 is a wasteful number, since it uses less digits than its factorization.

72077201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952.

The product of its (nonzero) digits is 1372, while the sum is 26.

The square root of 72077201 is about 8489.8292680124. The cubic root of 72077201 is about 416.1654008979.

The spelling of 72077201 in words is "seventy-two million, seventy-seven thousand, two hundred one".