61002072 has 80 divisors (see below), whose sum is σ = 178334640. Its totient is φ = 19445184.

The previous prime is 61002041. The next prime is 61002077. The reversal of 61002072 is 27020016.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61002077) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12858 + ... + 16950.

It is an arithmetic number, because the mean of its divisors is an integer number (2229183).

Almost surely, 2^61002072 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 61002072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89167320).

61002072 is an abundant number, since it is smaller than the sum of its proper divisors (117332568).

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

61002072 is a wasteful number, since it uses less digits than its factorization.

61002072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4134 (or 4121 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 61002072 is about 7810.3823209879. The cubic root of 61002072 is about 393.6541753210.

Adding to 61002072 its reverse (27020016), we get a palindrome (88022088).

The spelling of 61002072 in words is "sixty-one million, two thousand, seventy-two".