72760401 has 12 divisors (see below), whose sum is σ = 120112512. Its totient is φ = 41577336.

The previous prime is 72760349. The next prime is 72760417. The reversal of 72760401 is 10406727.

It is not a de Polignac number, because 72760401 - 2⁷ = 72760273 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72761401) 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, 577401 + ... + 577526.

It is an arithmetic number, because the mean of its divisors is an integer number (10009376).

Almost surely, 2^72760401 is an apocalyptic number.

It is an amenable number.

72760401 is a deficient number, since it is larger than the sum of its proper divisors (47352111).

72760401 is a wasteful number, since it uses less digits than its factorization.

72760401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154940 (or 1154937 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 72760401 is about 8529.9707502429. The cubic root of 72760401 is about 417.4761739544.

The spelling of 72760401 in words is "seventy-two million, seven hundred sixty thousand, four hundred one".