59949072 has 120 divisors (see below), whose sum is σ = 184425696. Its totient is φ = 18786816.

The previous prime is 59949041. The next prime is 59949073. The reversal of 59949072 is 27094995.

59949072 is a `hidden beast` number, since 5 + 99 + 490 + 72 = 666.

It is a super-2 number, since 2×59949072² = 7187782467322368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (59949073) 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, 65643 + ... + 66549.

Almost surely, 2^59949072 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 59949072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92212848).

59949072 is an abundant number, since it is smaller than the sum of its proper divisors (124476624).

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

59949072 is a wasteful number, since it uses less digits than its factorization.

59949072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 59949072 is about 7742.6786062706. The cubic root of 59949072 is about 391.3759681080.

The spelling of 59949072 in words is "fifty-nine million, nine hundred forty-nine thousand, seventy-two".