72854670 has 96 divisors (see below), whose sum is σ = 210535200. Its totient is φ = 16068864.

The previous prime is 72854651. The next prime is 72854687. The reversal of 72854670 is 7645827.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41776 + ... + 43484.

It is an arithmetic number, because the mean of its divisors is an integer number (2193075).

Almost surely, 2^72854670 is an apocalyptic number.

72854670 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72854670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105267600).

72854670 is an abundant number, since it is smaller than the sum of its proper divisors (137680530).

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

72854670 is a wasteful number, since it uses less digits than its factorization.

72854670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 72854670 is about 8535.4947132548. The cubic root of 72854670 is about 417.6563913843.

The spelling of 72854670 in words is "seventy-two million, eight hundred fifty-four thousand, six hundred seventy".