72950401 has 2 divisors, whose sum is σ = 72950402. Its totient is φ = 72950400.

The previous prime is 72950387. The next prime is 72950429. The reversal of 72950401 is 10405927.

It is a happy number.

It is an a-pointer prime, because the next prime (72950429) can be obtained adding 72950401 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64400625 + 8549776 = 8025^2 + 2924^2 .

It is a cyclic number.

It is not a de Polignac number, because 72950401 - 2⁵ = 72950369 is a prime.

It is a super-2 number, since 2×72950401² = 10643522012121602, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72950401.

It is not a weakly prime, because it can be changed into another prime (72950431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36475200 + 36475201.

It is an arithmetic number, because the mean of its divisors is an integer number (36475201).

Almost surely, 2^72950401 is an apocalyptic number.

It is an amenable number.

72950401 is a deficient number, since it is larger than the sum of its proper divisors (1).

72950401 is an equidigital number, since it uses as much as digits as its factorization.

72950401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 72950401 is about 8541.1006901921. The cubic root of 72950401 is about 417.8392447479.

The spelling of 72950401 in words is "seventy-two million, nine hundred fifty thousand, four hundred one".