72803953 has 6 divisors (see below), whose sum is σ = 76837794. Its totient is φ = 68971824.

The previous prime is 72803921. The next prime is 72803957. The reversal of 72803953 is 35930827.

It can be written as a sum of positive squares in only one way, i.e., 37662769 + 35141184 = 6137^2 + 5928^2 .

It is not a de Polignac number, because 72803953 - 2⁵ = 72803921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72803957) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100476 + ... + 101197.

It is an arithmetic number, because the mean of its divisors is an integer number (12806299).

Almost surely, 2^72803953 is an apocalyptic number.

It is an amenable number.

72803953 is a deficient number, since it is larger than the sum of its proper divisors (4033841).

72803953 is a wasteful number, since it uses less digits than its factorization.

72803953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201711 (or 201692 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 72803953 is about 8532.5232493091. The cubic root of 72803953 is about 417.5594532087.

The spelling of 72803953 in words is "seventy-two million, eight hundred three thousand, nine hundred fifty-three".