72780956 has 24 divisors (see below), whose sum is σ = 129077760. Its totient is φ = 35905392.

The previous prime is 72780949. The next prime is 72780959. The reversal of 72780956 is 65908727.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72780959) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123695 + ... + 124281.

It is an arithmetic number, because the mean of its divisors is an integer number (5378240).

Almost surely, 2^72780956 is an apocalyptic number.

It is an amenable number.

72780956 is a deficient number, since it is larger than the sum of its proper divisors (56296804).

72780956 is a wasteful number, since it uses less digits than its factorization.

72780956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 44.

The square root of 72780956 is about 8531.1755344735. The cubic root of 72780956 is about 417.5154829498.

The spelling of 72780956 in words is "seventy-two million, seven hundred eighty thousand, nine hundred fifty-six".