73870272 has 224 divisors, whose sum is σ = 257495040. Its totient is φ = 20321280.

The previous prime is 73870243. The next prime is 73870283. The reversal of 73870272 is 27207837.

73870272 is a `hidden beast` number, since 7 + 387 + 0 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374878 + ... + 375074.

Almost surely, 2^73870272 is an apocalyptic number.

73870272 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 73870272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128747520).

73870272 is an abundant number, since it is smaller than the sum of its proper divisors (183624768).

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

73870272 is a wasteful number, since it uses less digits than its factorization.

73870272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 73870272 is about 8594.7816726197. The cubic root of 73870272 is about 419.5881677372.

The spelling of 73870272 in words is "seventy-three million, eight hundred seventy thousand, two hundred seventy-two".