72961353 has 6 divisors (see below), whose sum is σ = 105388634. Its totient is φ = 48640896.

The previous prime is 72961333. The next prime is 72961391. The reversal of 72961353 is 35316927.

It can be written as a sum of positive squares in only one way, i.e., 65076489 + 7884864 = 8067^2 + 2808^2 .

It is not a de Polignac number, because 72961353 - 2⁹ = 72960841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72961333) 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, 4053400 + ... + 4053417.

Almost surely, 2^72961353 is an apocalyptic number.

It is an amenable number.

72961353 is a deficient number, since it is larger than the sum of its proper divisors (32427281).

72961353 is a wasteful number, since it uses less digits than its factorization.

72961353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8106823 (or 8106820 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 72961353 is about 8541.7418012956. The cubic root of 72961353 is about 417.8601536867.

It can be divided in two parts, 7296 and 1353, that added together give a square (8649 = 93²).

The spelling of 72961353 in words is "seventy-two million, nine hundred sixty-one thousand, three hundred fifty-three".