1997739072 has 224 divisors, whose sum is σ = 6746077440. Its totient is φ = 567889920.

The previous prime is 1997739061. The next prime is 1997739077. The reversal of 1997739072 is 2709377991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1997739072² = 7981922799590842368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1997739077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3834172 + ... + 3834692.

Almost surely, 2^1997739072 is an apocalyptic number.

1997739072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1997739072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3373038720).

1997739072 is an abundant number, since it is smaller than the sum of its proper divisors (4748338368).

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

1997739072 is a wasteful number, since it uses less digits than its factorization.

1997739072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 1500282, while the sum is 54.

The square root of 1997739072 is about 44696.0744585025. The cubic root of 1997739072 is about 1259.4461057509.

It can be divided in two parts, 19977 and 39072, that added together give a 10-th power (59049 = 3¹⁰).

The spelling of 1997739072 in words is "one billion, nine hundred ninety-seven million, seven hundred thirty-nine thousand, seventy-two".