72062874 has 48 divisors (see below), whose sum is σ = 168753312. Its totient is φ = 22093344.

The previous prime is 72062873. The next prime is 72062911. The reversal of 72062874 is 47826027.

72062874 is a `hidden beast` number, since 7 + 20 + 628 + 7 + 4 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72062873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127717 + ... + 128279.

It is an arithmetic number, because the mean of its divisors is an integer number (3515694).

Almost surely, 2^72062874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72062874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84376656).

72062874 is an abundant number, since it is smaller than the sum of its proper divisors (96690438).

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

72062874 is a wasteful number, since it uses less digits than its factorization.

72062874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 72062874 is about 8488.9854517486. The cubic root of 72062874 is about 416.1378249251.

The spelling of 72062874 in words is "seventy-two million, sixty-two thousand, eight hundred seventy-four".