72675000 has 288 divisors, whose sum is σ = 274201200. Its totient is φ = 17280000.

The previous prime is 72674989. The next prime is 72675011. The reversal of 72675000 is 57627.

It is an interprime number because it is at equal distance from previous prime (72674989) and next prime (72675011).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3824991 + ... + 3825009.

Almost surely, 2^72675000 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 72675000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137100600).

72675000 is an abundant number, since it is smaller than the sum of its proper divisors (201526200).

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

72675000 is a wasteful number, since it uses less digits than its factorization.

72675000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 46 counting only the distinct ones).

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

The square root of 72675000 is about 8524.9633430297. The cubic root of 72675000 is about 417.3127753644.

The spelling of 72675000 in words is "seventy-two million, six hundred seventy-five thousand".