72657000 has 384 divisors, whose sum is σ = 286191360. Its totient is φ = 17107200.

The previous prime is 72656999. The next prime is 72657001. The reversal of 72657000 is 75627.

72657000 is a `hidden beast` number, since 7 + 2 + 657 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (72656999) and next prime (72657001).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72657001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3158989 + ... + 3159011.

It is an arithmetic number, because the mean of its divisors is an integer number (745290).

Almost surely, 2^72657000 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 72657000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143095680).

72657000 is an abundant number, since it is smaller than the sum of its proper divisors (213534360).

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

72657000 is a wasteful number, since it uses less digits than its factorization.

72657000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 72657000 is about 8523.9075546371. The cubic root of 72657000 is about 417.2783194525.

The spelling of 72657000 in words is "seventy-two million, six hundred fifty-seven thousand".