72356949 has 32 divisors (see below), whose sum is σ = 123002880. Its totient is φ = 41180400.

The previous prime is 72356939. The next prime is 72356953. The reversal of 72356949 is 94965327.

It is a happy number.

It is not a de Polignac number, because 72356949 - 2¹¹ = 72354901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72356909) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58164 + ... + 59394.

It is an arithmetic number, because the mean of its divisors is an integer number (3843840).

Almost surely, 2^72356949 is an apocalyptic number.

It is an amenable number.

72356949 is a deficient number, since it is larger than the sum of its proper divisors (50645931).

72356949 is a wasteful number, since it uses less digits than its factorization.

72356949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 1552 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 72356949 is about 8506.2887912415. The cubic root of 72356949 is about 416.7031166690.

The spelling of 72356949 in words is "seventy-two million, three hundred fifty-six thousand, nine hundred forty-nine".