72346401 has 12 divisors (see below), whose sum is σ = 105536340. Its totient is φ = 47752800.

The previous prime is 72346397. The next prime is 72346423. The reversal of 72346401 is 10464327.

It can be written as a sum of positive squares in 2 ways, for example, as 46580625 + 25765776 = 6825^2 + 5076^2 .

It is not a de Polignac number, because 72346401 - 2² = 72346397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72346451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38886 + ... + 40703.

It is an arithmetic number, because the mean of its divisors is an integer number (8794695).

Almost surely, 2^72346401 is an apocalyptic number.

It is an amenable number.

72346401 is a deficient number, since it is larger than the sum of its proper divisors (33189939).

72346401 is a wasteful number, since it uses less digits than its factorization.

72346401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79696 (or 79693 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 72346401 is about 8505.6687567763. The cubic root of 72346401 is about 416.6828670679.

The spelling of 72346401 in words is "seventy-two million, three hundred forty-six thousand, four hundred one".