73963152 has 80 divisors (see below), whose sum is σ = 213369280. Its totient is φ = 24530688.

The previous prime is 73963121. The next prime is 73963163. The reversal of 73963152 is 25136937.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134943 + ... + 135489.

It is an arithmetic number, because the mean of its divisors is an integer number (2667116).

Almost surely, 2^73963152 is an apocalyptic number.

73963152 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 73963152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106684640).

73963152 is an abundant number, since it is smaller than the sum of its proper divisors (139406128).

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

73963152 is a wasteful number, since it uses less digits than its factorization.

73963152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 865 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 73963152 is about 8600.1832538615. The cubic root of 73963152 is about 419.7639489907.

The spelling of 73963152 in words is "seventy-three million, nine hundred sixty-three thousand, one hundred fifty-two".