61236972 has 54 divisors (see below), whose sum is σ = 161168644. Its totient is φ = 20331000.

The previous prime is 61236953. The next prime is 61236977. The reversal of 61236972 is 27963216.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

61236972 is a `hidden beast` number, since 612 + 36 + 9 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (54).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (61236977) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 243847 + ... + 244097.

Almost surely, 2^61236972 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 61236972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80584322).

61236972 is an abundant number, since it is smaller than the sum of its proper divisors (99931672).

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

61236972 is an equidigital number, since it uses as much as digits as its factorization.

61236972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 256 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 61236972 is about 7825.4055485962. The cubic root of 61236972 is about 394.1588080642.

The spelling of 61236972 in words is "sixty-one million, two hundred thirty-six thousand, nine hundred seventy-two".