73927152 has 240 divisors, whose sum is σ = 248609088. Its totient is φ = 20275200.

The previous prime is 73927151. The next prime is 73927153. The reversal of 73927152 is 25172937.

It is an interprime number because it is at equal distance from previous prime (73927151) and next prime (73927153).

It is a super-2 number, since 2×73927152² = 10930447605662208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73927151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 731902 + ... + 732002.

Almost surely, 2^73927152 is an apocalyptic number.

73927152 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 73927152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124304544).

73927152 is an abundant number, since it is smaller than the sum of its proper divisors (174681936).

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

73927152 is a wasteful number, since it uses less digits than its factorization.

73927152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 159 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 73927152 is about 8598.0900204638. The cubic root of 73927152 is about 419.6958341968.

The spelling of 73927152 in words is "seventy-three million, nine hundred twenty-seven thousand, one hundred fifty-two".