72850401 has 16 divisors (see below), whose sum is σ = 116229120. Its totient is φ = 44830800.

The previous prime is 72850387. The next prime is 72850411. The reversal of 72850401 is 10405827.

It is not a de Polignac number, because 72850401 - 2⁵ = 72850369 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (72850411) 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, 103425 + ... + 104126.

It is an arithmetic number, because the mean of its divisors is an integer number (7264320).

Almost surely, 2^72850401 is an apocalyptic number.

It is an amenable number.

72850401 is a deficient number, since it is larger than the sum of its proper divisors (43378719).

72850401 is a wasteful number, since it uses less digits than its factorization.

72850401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207573 (or 207567 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 72850401 is about 8535.2446362128. The cubic root of 72850401 is about 417.6482335455.

The spelling of 72850401 in words is "seventy-two million, eight hundred fifty thousand, four hundred one".