72801963 has 32 divisors (see below), whose sum is σ = 116820480. Its totient is φ = 44543520.

The previous prime is 72801947. The next prime is 72801979. The reversal of 72801963 is 36910827.

It is an interprime number because it is at equal distance from previous prime (72801947) and next prime (72801979).

It is not a de Polignac number, because 72801963 - 2⁴ = 72801947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72801943) 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, 73570 + ... + 74552.

It is an arithmetic number, because the mean of its divisors is an integer number (3650640).

Almost surely, 2^72801963 is an apocalyptic number.

72801963 is a deficient number, since it is larger than the sum of its proper divisors (44018517).

72801963 is a wasteful number, since it uses less digits than its factorization.

72801963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 72801963 is about 8532.4066358795. The cubic root of 72801963 is about 417.5556486952. Note that the first 3 decimals are identical.

The spelling of 72801963 in words is "seventy-two million, eight hundred one thousand, nine hundred sixty-three".