72761948 has 24 divisors (see below), whose sum is σ = 145711104. Its totient is φ = 31143600.

The previous prime is 72761879. The next prime is 72761971. The reversal of 72761948 is 84916727.

It is a junction number, because it is equal to n+sod(n) for n = 72761899 and 72761908.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 33413 + ... + 35523.

It is an arithmetic number, because the mean of its divisors is an integer number (6071296).

Almost surely, 2^72761948 is an apocalyptic number.

It is an amenable number.

72761948 is an abundant number, since it is smaller than the sum of its proper divisors (72949156).

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

72761948 is a wasteful number, since it uses less digits than its factorization.

72761948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353 (or 3351 counting only the distinct ones).

The product of its digits is 169344, while the sum is 44.

The square root of 72761948 is about 8530.0614300250. The cubic root of 72761948 is about 417.4791326657.

The spelling of 72761948 in words is "seventy-two million, seven hundred sixty-one thousand, nine hundred forty-eight".