72963744 has 72 divisors (see below), whose sum is σ = 222814368. Its totient is φ = 20845440.

The previous prime is 72963731. The next prime is 72963749. The reversal of 72963744 is 44736927.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 72963696 and 72963705.

It is not an unprimeable number, because it can be changed into a prime (72963749) 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 11 ways as a sum of consecutive naturals, for example, 3052 + ... + 12459.

It is an arithmetic number, because the mean of its divisors is an integer number (3094644).

Almost surely, 2^72963744 is an apocalyptic number.

It is an amenable number.

72963744 is an abundant number, since it is smaller than the sum of its proper divisors (149850624).

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

72963744 is a wasteful number, since it uses less digits than its factorization.

72963744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15538 (or 15523 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 72963744 is about 8541.8817598934. The cubic root of 72963744 is about 417.8647181704.

The spelling of 72963744 in words is "seventy-two million, nine hundred sixty-three thousand, seven hundred forty-four".