72554328 has 192 divisors, whose sum is σ = 256089600. Its totient is φ = 17994240.

The previous prime is 72554327. The next prime is 72554329. The reversal of 72554328 is 82345527.

72554328 is a `hidden beast` number, since 72 + 554 + 32 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (72554327) and next prime (72554329).

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

It is a junction number, because it is equal to n+sod(n) for n = 72554292 and 72554301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72554327) 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, 127228 + ... + 127796.

It is an arithmetic number, because the mean of its divisors is an integer number (1333800).

Almost surely, 2^72554328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72554328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128044800).

72554328 is an abundant number, since it is smaller than the sum of its proper divisors (183535272).

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

72554328 is a wasteful number, since it uses less digits than its factorization.

72554328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 615 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 72554328 is about 8517.8828355408. The cubic root of 72554328 is about 417.0816740458.

The spelling of 72554328 in words is "seventy-two million, five hundred fifty-four thousand, three hundred twenty-eight".