61372416 has 96 divisors (see below), whose sum is σ = 187125120. Its totient is φ = 17522688.

The previous prime is 61372411. The next prime is 61372427. The reversal of 61372416 is 61427316.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61372411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42295 + ... + 43721.

It is an arithmetic number, because the mean of its divisors is an integer number (1949220).

Almost surely, 2^61372416 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 61372416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93562560).

61372416 is an abundant number, since it is smaller than the sum of its proper divisors (125752704).

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

61372416 is a wasteful number, since it uses less digits than its factorization.

61372416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1439 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 61372416 is about 7834.0548887533. The cubic root of 61372416 is about 394.4491943678.

The spelling of 61372416 in words is "sixty-one million, three hundred seventy-two thousand, four hundred sixteen".