72914401 has 12 divisors (see below), whose sum is σ = 85617648. Its totient is φ = 61909512.

The previous prime is 72914399. The next prime is 72914431. The reversal of 72914401 is 10441927.

It is not a de Polignac number, because 72914401 - 2¹ = 72914399 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72914401.

It is not an unprimeable number, because it can be changed into a prime (72914431) 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, 1711 + ... + 12196.

It is an arithmetic number, because the mean of its divisors is an integer number (7134804).

Almost surely, 2^72914401 is an apocalyptic number.

It is an amenable number.

72914401 is a deficient number, since it is larger than the sum of its proper divisors (12703247).

72914401 is a wasteful number, since it uses less digits than its factorization.

72914401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14028 (or 14021 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 72914401 is about 8538.9929734132. The cubic root of 72914401 is about 417.7705008357.

The spelling of 72914401 in words is "seventy-two million, nine hundred fourteen thousand, four hundred one".