72963072 has 352 divisors, whose sum is σ = 275116800. Its totient is φ = 18579456.

The previous prime is 72963053. The next prime is 72963073. The reversal of 72963072 is 27036927.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72963073) 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, 2515954 + ... + 2515982.

Almost surely, 2^72963072 is an apocalyptic number.

72963072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72963072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137558400).

72963072 is an abundant number, since it is smaller than the sum of its proper divisors (202153728).

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

72963072 is a wasteful number, since it uses less digits than its factorization.

72963072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 72963072 is about 8541.8424242080. The cubic root of 72963072 is about 417.8634353143.

Adding to 72963072 its reverse (27036927), we get a palindrome (99999999).

The spelling of 72963072 in words is "seventy-two million, nine hundred sixty-three thousand, seventy-two".