72954648 has 64 divisors (see below), whose sum is σ = 218248800. Its totient is φ = 22446720.

The previous prime is 72954647. The next prime is 72954649. The reversal of 72954648 is 84645927.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72954647) and next prime (72954649).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72954641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10183 + ... + 15798.

Almost surely, 2^72954648 is an apocalyptic number.

72954648 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

72954648 is an abundant number, since it is smaller than the sum of its proper divisors (145294152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72954648 is a wasteful number, since it uses less digits than its factorization.

72954648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26009 (or 25999 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 72954648 is about 8541.3493079255. The cubic root of 72954648 is about 417.8473531284.

The spelling of 72954648 in words is "seventy-two million, nine hundred fifty-four thousand, six hundred forty-eight".